12918400 has 96 divisors (see below), whose sum is σ = 34908480. Its totient is φ = 4684800.

The previous prime is 12918391. The next prime is 12918421. The reversal of 12918400 is 481921.

It is a happy number.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35017 + ... + 35383.

It is an arithmetic number, because the mean of its divisors is an integer number (363630).

Almost surely, 2^12918400 is an apocalyptic number.

12918400 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 12918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454240).

12918400 is an abundant number, since it is smaller than the sum of its proper divisors (21990080).

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

12918400 is a wasteful number, since it uses less digits than its factorization.

12918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12918400 is about 3594.2175782776. The cubic root of 12918400 is about 234.6404642461.

The spelling of 12918400 in words is "twelve million, nine hundred eighteen thousand, four hundred".