125356399122240 has 5376 divisors, whose sum is σ = 591997131878400. Its totient is φ = 24594953011200.

The previous prime is 125356399122217. The next prime is 125356399122247. The reversal of 125356399122240 is 42221993653521.

125356399122240 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 6 + 399 + 1 + 2 + 2 + 240 = 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 (125356399122247) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 378720238875 + ... + 378720239205.

Almost surely, 2^{125356399122240} is an apocalyptic number.

125356399122240 is a gapful number since it is divisible by the number (10) 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 125356399122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295998565939200).

125356399122240 is an abundant number, since it is smaller than the sum of its proper divisors (466640732756160).

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

125356399122240 is a wasteful number, since it uses less digits than its factorization.

125356399122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 125356399122240 in words is "one hundred twenty-five trillion, three hundred fifty-six billion, three hundred ninety-nine million, one hundred twenty-two thousand, two hundred forty".