125501254072992 has 576 divisors, whose sum is σ = 449876333297664. Its totient is φ = 33596843765760.

The previous prime is 125501254072981. The next prime is 125501254073011. The reversal of 125501254072992 is 299270452105521.

It is a happy number.

125501254072992 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 0 + 1 + 2 + 540 + 7 + 2 + 9 + 92 = 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 95 ways as a sum of consecutive naturals, for example, 206047617 + ... + 206655807.

It is an arithmetic number, because the mean of its divisors is an integer number (781035300864).

Almost surely, 2^{125501254072992} is an apocalyptic number.

125501254072992 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 125501254072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224938166648832).

125501254072992 is an abundant number, since it is smaller than the sum of its proper divisors (324375079224672).

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

125501254072992 is a wasteful number, since it uses less digits than its factorization.

125501254072992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608463 (or 608443 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 125501254072992 in words is "one hundred twenty-five trillion, five hundred one billion, two hundred fifty-four million, seventy-two thousand, nine hundred ninety-two".