12942800 has 120 divisors (see below), whose sum is σ = 35518560. Its totient is φ = 4492800.

The previous prime is 12942799. The next prime is 12942821. The reversal of 12942800 is 824921.

It is a hoax number, since the sum of its digits (26) 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12942800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98735 + ... + 98865.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 2^12942800 is an apocalyptic number.

12942800 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 12942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759280).

12942800 is an abundant number, since it is smaller than the sum of its proper divisors (22575760).

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

12942800 is a wasteful number, since it uses less digits than its factorization.

12942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12942800 is about 3597.6103179750. The cubic root of 12942800 is about 234.7880993130.

The spelling of 12942800 in words is "twelve million, nine hundred forty-two thousand, eight hundred".