12970800 has 120 divisors (see below), whose sum is σ = 46204880. Its totient is φ = 3456000.

The previous prime is 12970799. The next prime is 12970807. The reversal of 12970800 is 807921.

12970800 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10200 + ... + 11400.

Almost surely, 2^12970800 is an apocalyptic number.

12970800 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 12970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102440).

12970800 is an abundant number, since it is smaller than the sum of its proper divisors (33234080).

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

12970800 is a wasteful number, since it uses less digits than its factorization.

12970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 12970800 is about 3601.4996876301. The cubic root of 12970800 is about 234.9572881482.

The spelling of 12970800 in words is "twelve million, nine hundred seventy thousand, eight hundred".