125240594400000 has 648 divisors, whose sum is σ = 451916578019088. Its totient is φ = 33355238400000.

The previous prime is 125240594399951. The next prime is 125240594400059. The reversal of 125240594400000 is 4495042521.

It is a happy number.

125240594400000 is a `hidden beast` number, since 1 + 2 + 5 + 24 + 0 + 594 + 40 + 0 + 0 + 0 + 0 = 666.

125240594400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125240594400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5911189407 + ... + 5911210593.

Almost surely, 2^{125240594400000} is an apocalyptic number.

125240594400000 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 125240594400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225958289009544).

125240594400000 is an abundant number, since it is smaller than the sum of its proper divisors (326675983619088).

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

125240594400000 is an frugal number, since it uses more digits than its factorization.

125240594400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22055 (or 22018 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 125240594400000 in words is "one hundred twenty-five trillion, two hundred forty billion, five hundred ninety-four million, four hundred thousand".