12978600 has 96 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3409920.

The previous prime is 12978593. The next prime is 12978611. The reversal of 12978600 is 687921.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 58089 + ... + 58311.

It is an arithmetic number, because the mean of its divisors is an integer number (425320).

Almost surely, 2^12978600 is an apocalyptic number.

12978600 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 12978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

12978600 is an abundant number, since it is smaller than the sum of its proper divisors (27852120).

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

12978600 is a wasteful number, since it uses less digits than its factorization.

12978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12978600 is about 3602.5824071074. The cubic root of 12978600 is about 235.0043759559.

The spelling of 12978600 in words is "twelve million, nine hundred seventy-eight thousand, six hundred".