12812904 has 112 divisors (see below), whose sum is σ = 39020100. Its totient is φ = 3942432.

The previous prime is 12812893. The next prime is 12812963. The reversal of 12812904 is 40921821.

The cubic root of 12812904 is 234.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 8820900 = 1998^2 + 2970^2 .

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 985602 + ... + 985614.

Almost surely, 2^12812904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12812904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510050).

12812904 is an abundant number, since it is smaller than the sum of its proper divisors (26207196).

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

12812904 is an frugal number, since it uses more digits than its factorization.

12812904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12812904 is about 3579.5116985421.

Multiplying 12812904 by its sum of digits (27), we get a cube (345948408 = 702³).

12812904 divided by its sum of digits (27) gives a cube (474552 = 78³).

The spelling of 12812904 in words is "twelve million, eight hundred twelve thousand, nine hundred four".