12982800 has 120 divisors (see below), whose sum is σ = 43052800. Its totient is φ = 3340800.

The previous prime is 12982793. The next prime is 12982859. The reversal of 12982800 is 828921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37026 + ... + 37374.

Almost surely, 2^12982800 is an apocalyptic number.

12982800 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 12982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526400).

12982800 is an abundant number, since it is smaller than the sum of its proper divisors (30070000).

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

12982800 is a wasteful number, since it uses less digits than its factorization.

12982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 12982800 is about 3603.1652751435. The cubic root of 12982800 is about 235.0297231153.

The spelling of 12982800 in words is "twelve million, nine hundred eighty-two thousand, eight hundred".