i had a similar situation yesterday. Using the lumia 720 for the last 5 days.
i just tried to unlock the screen. i saw the lock screen picture but no date/time or anything. didnt slide up and was completely not responding. i let it there and checked it after a few minutes and then found that the screen was off. i connected to laptop and to my surprise i could browse the files inside and saw battery was 100%. it took a while to found out how to reset the phone (almost 2 hours since i was travelling and that too partially from my friend who has lumia) . but what i did was, i pressed down the power switch for 2 minutes (i'm not sure what other keys i pressed. almost tried different combinations) it suddenly switched on with a vibration. And it was not resetted also. found in the lock screen the date was september 2012. other than that nothing else i could see.
Since it happended same for others in some way or the other, i guess it will be fixed through an update. looking forward to that