Many attribute the big drop in the price of Apple's stock to iPhone 5 sales not being higher. Could it be that it really is that Apple is not paying attention to the problems of its existing customers. With the introduction of iOS 6 for the iPad and iPhone, many people are having trouble using passwords that had been working fine. This has been going on since at least September, 2012, and nobody from Apple seems to respond to the problems addressed in the "Apple Community" forums.
As I said in "Why Facebook's stock price went down", "it's software is too buggy."
I posted the following today at https://discussions.apple.com/thread/4316010?start=30&tstart=0.
I think that this Apple ID/password mess is just too much bother. I don't know how many hours I've spent researching the problem and trying some of the solutions.
Like many of you, I've wound up with multiple Apple IDs; let's call them A, B, and C. If I remember correctly, I got into this because I forgot a password. At the time, I remember that the only solution seemed to be to create another Apple ID. So now I can get into iTunes with ID A, but almost everything on my iPhone, iPod, and iCloud are for ID B. I know that a month ago ID B had a password in a short list.
With the upgrade to iOS 6.1 and maybe before, none of the recent passwords for ID B are acceptable. If I ask to change the password for ID B, it will not accept my birthdate as the first security question and it will not always send me email.
Even though ID B is in the list of email addresses for ID A, there is no way I can use the ID A change page to change the password for ID B.
I think this whole situation violates the Human Interface Principles for iOS of consistency and user control. See http://developer.apple.com/library/ios/#documentation/UserExperience/Conceptual/MobileHIG/Principles/Principles.html#//apple_ref/doc/uid/TP40006556-CH5-SW1.
I've resigned myself to living without access to iCloud, with consistently clicking "ignore" or whatever when iCal and others ask for my ID B password, and a host of other annoyances. I've already sent feedback to Apple. I suggest you do the same at http://www.apple.com/feedback/, selecting iPad, iPhone, or iPod. Maybe if a few hundred of us do this, Apple will come up with a better solution than the varied advice here that works in some situations and not others.
UPDATE: See "Apple's stock may go up" for the resolution of this problem.