12257200 has 30 divisors (see below), whose sum is σ = 29448884. Its totient is φ = 4902720.

The previous prime is 12257173. The next prime is 12257213. The reversal of 12257200 is 275221.

12257200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14922 + ... + 15721.

Almost surely, 2^12257200 is an apocalyptic number.

12257200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257200 is an abundant number, since it is smaller than the sum of its proper divisors (17191684).

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

12257200 is a wasteful number, since it uses less digits than its factorization.

12257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30661 (or 30650 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12257200 is about 3501.0284203359. The cubic root of 12257200 is about 230.5669692150.

The spelling of 12257200 in words is "twelve million, two hundred fifty-seven thousand, two hundred".