12972260 has 96 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 4233600.

The previous prime is 12972257. The next prime is 12972263. The reversal of 12972260 is 6227921.

12972260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12972257) and next prime (12972263).

It is not an unprimeable number, because it can be changed into a prime (12972263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212630 + ... + 212690.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 2^12972260 is an apocalyptic number.

12972260 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 12972260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

12972260 is an abundant number, since it is smaller than the sum of its proper divisors (20358940).

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

12972260 is a wasteful number, since it uses less digits than its factorization.

12972260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12972260 is about 3601.7023752665. The cubic root of 12972260 is about 234.9661034556.

The spelling of 12972260 in words is "twelve million, nine hundred seventy-two thousand, two hundred sixty".