Used both these phones, Note 2 plenty of customization, great size screen and the battery life is good. But after a while when I have a number of apps running and with plenty of heavy usage, battery drains off fast and the phone lags. Movement isn't that smooth.

For the iPhone 5, battery sucks, built quality is definitely amazing. Can't customize stuff but very easy to use and the speed is very fast with the new iPhone 5 even after long pronounced usage.