12731904000 has 520 divisors, whose sum is σ = 47620901328. Its totient is φ = 3384115200.

The previous prime is 12731903923. The next prime is 12731904007. The reversal of 12731904000 is 40913721.

12731904000 is a `hidden beast` number, since 1 + 2 + 73 + 190 + 400 + 0 = 666.

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 (12731904007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471847 + ... + 41472153.

Almost surely, 2^12731904000 is an apocalyptic number.

12731904000 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 12731904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810450664).

12731904000 is an abundant number, since it is smaller than the sum of its proper divisors (34888997328).

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

12731904000 is an frugal number, since it uses more digits than its factorization.

12731904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12731904000 in words is "twelve billion, seven hundred thirty-one million, nine hundred four thousand".