1, 2, 0, a, b

Given that aa and bb are digits such that 120ab \overline{120ab} is a multiple of 3, 5 and 7. What is the value of ab \overline{ab} ?

Details and assumptions:

abc \overline{abc} means 100a+10b+1c 100a + 10b + 1c, as opposed to a×b×c a \times b \times c. As an explicit example, for a=2,b=3,c=4a=2, b=3, c=4, abc=234\overline{abc} = 234 and not 2×3×4=24 2 \times 3 \times 4 = 24.

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