12597200 has 120 divisors (see below), whose sum is σ = 37824960. Its totient is φ = 3916800.

The previous prime is 12597181. The next prime is 12597227. The reversal of 12597200 is 279521.

It is a self number, because there is not a number n which added to its sum of digits gives 12597200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30596 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (315208).

Almost surely, 2^12597200 is an apocalyptic number.

12597200 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 12597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912480).

12597200 is an abundant number, since it is smaller than the sum of its proper divisors (25227760).

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

12597200 is a wasteful number, since it uses less digits than its factorization.

12597200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12597200 is about 3549.2534426271. The cubic root of 12597200 is about 232.6794390772.

The spelling of 12597200 in words is "twelve million, five hundred ninety-seven thousand, two hundred".