12907200 has 84 divisors (see below), whose sum is σ = 42362120. Its totient is φ = 3440640.

The previous prime is 12907183. The next prime is 12907217. The reversal of 12907200 is 270921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12907183) and next prime (12907217).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3456 + ... + 6144.

Almost surely, 2^12907200 is an apocalyptic number.

12907200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181060).

12907200 is an abundant number, since it is smaller than the sum of its proper divisors (29454920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12907200 is a wasteful number, since it uses less digits than its factorization.

12907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12907200 is about 3592.6591822771. The cubic root of 12907200 is about 234.5726350765.

The spelling of 12907200 in words is "twelve million, nine hundred seven thousand, two hundred".