125180100864000 has 4752 divisors, whose sum is σ = 590208968463660. Its totient is φ = 26411625676800.

The previous prime is 125180100863977. The next prime is 125180100864113. The reversal of 125180100864000 is 468001081521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125180100864000 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 8 + 0 + 1 + 0 + 0 + 8 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5478296011776 + 119701804852224 = 2340576^2 + 10940832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 9629238527994 + ... + 9629238528006.

Almost surely, 2^{125180100864000} is an apocalyptic number.

125180100864000 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 125180100864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295104484231830).

125180100864000 is an abundant number, since it is smaller than the sum of its proper divisors (465028867599660).

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

125180100864000 is an frugal number, since it uses more digits than its factorization.

125180100864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 125180100864000 in words is "one hundred twenty-five trillion, one hundred eighty billion, one hundred million, eight hundred sixty-four thousand".