12972960 has 480 divisors, whose sum is σ = 61471872. Its totient is φ = 2488320.

The previous prime is 12972959. The next prime is 12973013. The reversal of 12972960 is 6927921.

12972960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997914 + ... + 997926.

Almost surely, 2^12972960 is an apocalyptic number.

12972960 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 12972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

12972960 is an abundant number, since it is smaller than the sum of its proper divisors (48498912).

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

12972960 is a wasteful number, since it uses less digits than its factorization.

12972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

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

The square root of 12972960 is about 3601.7995502249. The cubic root of 12972960 is about 234.9703297383.

The spelling of 12972960 in words is "twelve million, nine hundred seventy-two thousand, nine hundred sixty".