125712775872 has 448 divisors, whose sum is σ = 408080870400. Its totient is φ = 37772697600.

The previous prime is 125712775843. The next prime is 125712775897. The reversal of 125712775872 is 278577217521.

125712775872 is a `hidden beast` number, since 1 + 2 + 57 + 1 + 2 + 7 + 7 + 587 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209172372 + ... + 209172972.

It is an arithmetic number, because the mean of its divisors is an integer number (910894800).

Almost surely, 2^125712775872 is an apocalyptic number.

125712775872 is a gapful number since it is divisible by the number (12) 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 125712775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204040435200).

125712775872 is an abundant number, since it is smaller than the sum of its proper divisors (282368094528).

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

125712775872 is a wasteful number, since it uses less digits than its factorization.

125712775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 925 counting only the distinct ones).

The product of its digits is 3841600, while the sum is 54.

The spelling of 125712775872 in words is "one hundred twenty-five billion, seven hundred twelve million, seven hundred seventy-five thousand, eight hundred seventy-two".