Start on any note (say C), play a note a tone (two semitones) above it, and repeat five times which will bring you to the note an octave above the note you started on. That is a whole-tone scale.
Repeat the whole exercise, starting on a note a semitone above the first note (Db) and do the same thing.
If you repeat the whole exercise starting on D you will play a scale identical to the first one, except you start and end on D.
This should show you that you only need to learn two scales!
Ie
C D E F# G# A# C
Db Eb F G A B Db
D E F# G# A# C D
Eb F G A B Db Eb
E F# G# A# C D E
and so on and so on until you've worked out all twelve. But really there are only two.
Whole-tone arpeggios:
C E G# C
Db Eb G Db
and so on.