12739987972800 has 1008 divisors, whose sum is σ = 51140261813760. Its totient is φ = 3082889779200.

The previous prime is 12739987972787. The next prime is 12739987972837. The reversal of 12739987972800 is 827978993721.

It is a happy number.

12739987972800 is a `hidden beast` number, since 1 + 27 + 399 + 8 + 79 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3381996517 + ... + 3382000283.

It is an arithmetic number, because the mean of its divisors is an integer number (50734386720).

Almost surely, 2^{12739987972800} is an apocalyptic number.

12739987972800 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 12739987972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570130906880).

12739987972800 is an abundant number, since it is smaller than the sum of its proper divisors (38400273840960).

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

12739987972800 is a wasteful number, since it uses less digits than its factorization.

12739987972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 12739987972800 in words is "twelve trillion, seven hundred thirty-nine billion, nine hundred eighty-seven million, nine hundred seventy-two thousand, eight hundred".