My iphone can't download apps like Infinity Blade II...

Hi everyone.

I have found that when I try to download the app Infinity Blade 2 on Iphone, it says "Loading" and than it stops.

On computer it starts downloading and when it arrives to 4.2mb it stops and doesn't start again.

It's NOT a space problem because i have more than 18gb... So why I can't download this app?

[I have Iphone 5 updated to the newest firmware]