12597120 has 160 divisors (see below), whose sum is σ = 45171720. Its totient is φ = 3359232.

The previous prime is 12597097. The next prime is 12597121. The reversal of 12597120 is 2179521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12597121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519422 + ... + 2519426.

Almost surely, 2^12597120 is an apocalyptic number.

12597120 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 12597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585860).

12597120 is an abundant number, since it is smaller than the sum of its proper divisors (32574600).

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

12597120 is an frugal number, since it uses more digits than its factorization.

12597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12597120 is about 3549.2421726335. The cubic root of 12597120 is about 232.6789465234.

The spelling of 12597120 in words is "twelve million, five hundred ninety-seven thousand, one hundred twenty".