I have applied for this Organization which calls me for interview one week after submission.i also have another interview which was schedule two weeks after submission.
For this two jobs I saw the position very late and applied a few days before closing date.

There are also some positions that put my application in process very quickly after I submit but I have no calls from them even after a month plus.

Pretty much depends on where you stand compared to the other candidates for the position I Guess.