I usually stick with the standard that has been stated above, but I tend to begin on B so that I can begin with 123.
Then, it changes with the piece. I'm very fond of doing 1234 when I can, and one example is Chopin's Nocturne Op. 72, where there is a chromatic passage with 11 tones, I think, where I do 12341231234 and then an octave on B.
In Für Elise, for example, there is a descending chromatic with the right hand that I do 43213214321321. It really is not applicable in general, as this covers 14 notes and a scale has 12. It just works because of the way the piece is made.
Sorry that I can't go into more details, but I don't remember the score exactly.
Alex