125212366944 has 768 divisors, whose sum is σ = 452874240000. Its totient is φ = 32868218880.

The previous prime is 125212366907. The next prime is 125212367029. The reversal of 125212366944 is 449663212521.

125212366944 is a `hidden beast` number, since 1 + 2 + 521 + 2 + 36 + 6 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125212366944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 840351382 + ... + 840351530.

It is an arithmetic number, because the mean of its divisors is an integer number (589680000).

Almost surely, 2^125212366944 is an apocalyptic number.

125212366944 is a gapful number since it is divisible by the number (14) 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 125212366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120000).

125212366944 is an abundant number, since it is smaller than the sum of its proper divisors (327661873056).

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

125212366944 is a wasteful number, since it uses less digits than its factorization.

125212366944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 125212366944 in words is "one hundred twenty-five billion, two hundred twelve million, three hundred sixty-six thousand, nine hundred forty-four".