12971520 has 120 divisors (see below), whose sum is σ = 45003816. Its totient is φ = 3452928.

The previous prime is 12971513. The next prime is 12971521. The reversal of 12971520 is 2517921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12971520² = 336520662220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12971521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22759 + ... + 23321.

Almost surely, 2^12971520 is an apocalyptic number.

12971520 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 12971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501908).

12971520 is an abundant number, since it is smaller than the sum of its proper divisors (32032296).

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

12971520 is an equidigital number, since it uses as much as digits as its factorization.

12971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 573 counting only the distinct ones).

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

The square root of 12971520 is about 3601.5996446024. The cubic root of 12971520 is about 234.9616355057.

The spelling of 12971520 in words is "twelve million, nine hundred seventy-one thousand, five hundred twenty".