3125267121888 has 192 divisors, whose sum is σ = 9962902333440. Its totient is φ = 948847564800.

The previous prime is 3125267121887. The next prime is 3125267121937. The reversal of 3125267121888 is 8881217625213.

It is a happy number.

3125267121888 is a `hidden beast` number, since 3 + 12 + 526 + 7 + 1 + 21 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125267121887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976558 + ... + 3887213.

It is an arithmetic number, because the mean of its divisors is an integer number (51890116320).

Almost surely, 2^{3125267121888} is an apocalyptic number.

It is an amenable number.

3125267121888 is an abundant number, since it is smaller than the sum of its proper divisors (6837635211552).

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

3125267121888 is a wasteful number, since it uses less digits than its factorization.

3125267121888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863838 (or 6863824 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 3125267121888 in words is "three trillion, one hundred twenty-five billion, two hundred sixty-seven million, one hundred twenty-one thousand, eight hundred eighty-eight".