125818292833272 has 1152 divisors, whose sum is σ = 408376754472960. Its totient is φ = 34751930204160.

The previous prime is 125818292833229. The next prime is 125818292833279. The reversal of 125818292833272 is 272338292818521.

125818292833272 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 1 + 8 + 29 + 283 + 327 + 2 = 666.

It is a super-2 number, since 2×125818292833272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125818292833279) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94814085873 + ... + 94814087199.

It is an arithmetic number, because the mean of its divisors is an integer number (354493710480).

Almost surely, 2^{125818292833272} is an apocalyptic number.

125818292833272 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 125818292833272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204188377236480).

125818292833272 is an abundant number, since it is smaller than the sum of its proper divisors (282558461639688).

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

125818292833272 is a wasteful number, since it uses less digits than its factorization.

125818292833272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1589 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 125818292833272 in words is "one hundred twenty-five trillion, eight hundred eighteen billion, two hundred ninety-two million, eight hundred thirty-three thousand, two hundred seventy-two".