12939264000 has 768 divisors, whose sum is σ = 52098752160. Its totient is φ = 3185049600.

The previous prime is 12939263963. The next prime is 12939264011. The reversal of 12939264000 is 46293921.

12939264000 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 9 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995327994 + ... + 995328006.

Almost surely, 2^12939264000 is an apocalyptic number.

12939264000 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 12939264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049376080).

12939264000 is an abundant number, since it is smaller than the sum of its proper divisors (39159488160).

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

12939264000 is an frugal number, since it uses more digits than its factorization.

12939264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12939264000 in words is "twelve billion, nine hundred thirty-nine million, two hundred sixty-four thousand".