12960972 has 60 divisors (see below), whose sum is σ = 34286560. Its totient is φ = 4269024.

The previous prime is 12960971. The next prime is 12960973. The reversal of 12960972 is 27906921.

It is an interprime number because it is at equal distance from previous prime (12960971) and next prime (12960973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12960971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35133 + ... + 35499.

Almost surely, 2^12960972 is an apocalyptic number.

12960972 is a gapful number since it is divisible by the number (12) 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 12960972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143280).

12960972 is an abundant number, since it is smaller than the sum of its proper divisors (21325588).

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

12960972 is a wasteful number, since it uses less digits than its factorization.

12960972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12960972 is about 3600.1349974688. The cubic root of 12960972 is about 234.8979306248.

The spelling of 12960972 in words is "twelve million, nine hundred sixty thousand, nine hundred seventy-two".