3112138972800 has 2880 divisors, whose sum is σ = 14426199711000. Its totient is φ = 653996851200.

The previous prime is 3112138972799. The next prime is 3112138972819. The reversal of 3112138972800 is 82798312113.

3112138972800 is a `hidden beast` number, since 3 + 1 + 121 + 389 + 72 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 204513781824 + 2907625190976 = 452232^2 + 1705176^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6931266976 + ... + 6931267424.

Almost surely, 2^{3112138972800} is an apocalyptic number.

3112138972800 is a gapful number since it is divisible by the number (30) 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 3112138972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213099855500).

3112138972800 is an abundant number, since it is smaller than the sum of its proper divisors (11314060738200).

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

3112138972800 is a wasteful number, since it uses less digits than its factorization.

3112138972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 3112138972800 in words is "three trillion, one hundred twelve billion, one hundred thirty-eight million, nine hundred seventy-two thousand, eight hundred".