12970720 has 96 divisors (see below), whose sum is σ = 36082368. Its totient is φ = 4313088.

The previous prime is 12970709. The next prime is 12970721. The reversal of 12970720 is 2707921.

It is a happy number.

12970720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41284 + ... + 41596.

It is an arithmetic number, because the mean of its divisors is an integer number (375858).

Almost surely, 2^12970720 is an apocalyptic number.

12970720 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 12970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041184).

12970720 is an abundant number, since it is smaller than the sum of its proper divisors (23111648).

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

12970720 is a wasteful number, since it uses less digits than its factorization.

12970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 12970720 is about 3601.4885811286. The cubic root of 12970720 is about 234.9568050985.

The spelling of 12970720 in words is "twelve million, nine hundred seventy thousand, seven hundred twenty".