125237212442496 has 1536 divisors, whose sum is σ = 490951302266880. Its totient is φ = 30811353661440.

The previous prime is 125237212442491. The next prime is 125237212442509. The reversal of 125237212442496 is 694244212732521.

125237212442496 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 7 + 2 + 124 + 424 + 96 = 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 (125237212442491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5673762916 + ... + 5673784988.

It is an arithmetic number, because the mean of its divisors is an integer number (319629754080).

Almost surely, 2^{125237212442496} is an apocalyptic number.

125237212442496 is a gapful number since it is divisible by the number (16) 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 125237212442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245475651133440).

125237212442496 is an abundant number, since it is smaller than the sum of its proper divisors (365714089824384).

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

125237212442496 is a wasteful number, since it uses less digits than its factorization.

125237212442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22222 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 125237212442496 in words is "one hundred twenty-five trillion, two hundred thirty-seven billion, two hundred twelve million, four hundred forty-two thousand, four hundred ninety-six".