125248635888912 has 160 divisors (see below), whose sum is σ = 372065958576000. Its totient is φ = 40292662556160.

The previous prime is 125248635888851. The next prime is 125248635888917. The reversal of 125248635888912 is 219888536842521.

125248635888912 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 486 + 3 + 58 + 8 + 8 + 91 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125248635888917) 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, 27165862 + ... + 31440122.

It is an arithmetic number, because the mean of its divisors is an integer number (2325412241100).

Almost surely, 2^{125248635888912} is an apocalyptic number.

125248635888912 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 125248635888912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186032979288000).

125248635888912 is an abundant number, since it is smaller than the sum of its proper divisors (246817322687088).

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

125248635888912 is a wasteful number, since it uses less digits than its factorization.

125248635888912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276646 (or 4276634 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 125248635888912 in words is "one hundred twenty-five trillion, two hundred forty-eight billion, six hundred thirty-five million, eight hundred eighty-eight thousand, nine hundred twelve".