Counting the zeros

Consider the integers in range [111 .. 122] in binary form:

 1 1 0 1 1 1 1
 1 1 1 0 0 0 0
 1 1 1 0 0 0 1
 1 1 1 0 0 1 0
 1 1 1 0 0 1 1
 1 1 1 0 1 0 0
 1 1 1 0 1 0 1
 1 1 1 0 1 1 0
 1 1 1 0 1 1 1
 1 1 1 1 0 0 0
 1 1 1 1 0 0 1
 1 1 1 1 0 1 0

and count how many times the digit 0 appears.
There are 28 zeros.

How many times does the digit 0 appear in the range [12,345,678,910,111,213 .. 31,211,101,987,654,321]?

[My timing: < 100 ms]