12812904000 has 784 divisors, whose sum is σ = 51537748080. Its totient is φ = 3153945600.

The previous prime is 12812903953. The next prime is 12812904007. The reversal of 12812904000 is 40921821.

The cubic root of 12812904000 is 2340.

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

It can be written as a sum of positive squares in 8 ways, for example, as 12810617856 + 2286144 = 113184^2 + 1512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812904007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 985607994 + ... + 985608006.

Almost surely, 2^12812904000 is an apocalyptic number.

12812904000 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 12812904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25768874040).

12812904000 is an abundant number, since it is smaller than the sum of its proper divisors (38724844080).

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

12812904000 is an frugal number, since it uses more digits than its factorization.

12812904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

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

Multiplying 12812904000 by its sum of digits (27), we get a cube (345948408000 = 7020³).

12812904000 divided by its sum of digits (27) gives a cube (474552000 = 780³).

The spelling of 12812904000 in words is "twelve billion, eight hundred twelve million, nine hundred four thousand".