A million times a million is a trillion, or 1,000,000,000,000. In this particular case, the shortcut is to add your zeros. When you multiply a number with 6 zeros with another number with 6 zeros, it will always have 12 zeros.
In other similar problems beginning with numbers other than 1 or with more than one starting digit that is not a zero, you can just multiply the non-zero part at the beginning and then add the zeros from both multiplicands onto the end of the product, thus 60 x 200 would be 12,000. That is, you multiply the 6 and the 2 and add on the 3 zeros.