12932244864000 has 3520 divisors, whose sum is σ = 61070911469568. Its totient is φ = 2643591168000.

The previous prime is 12932244863987. The next prime is 12932244864047. The reversal of 12932244864000 is 46844223921.

12932244864000 is a `hidden beast` number, since 1 + 293 + 2 + 244 + 86 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77438591917 + ... + 77438592083.

Almost surely, 2^{12932244864000} is an apocalyptic number.

12932244864000 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 12932244864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30535455734784).

12932244864000 is an abundant number, since it is smaller than the sum of its proper divisors (48138666605568).

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

12932244864000 is a wasteful number, since it uses less digits than its factorization.

12932244864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12932244864000 in words is "twelve trillion, nine hundred thirty-two billion, two hundred forty-four million, eight hundred sixty-four thousand".