125399070720 has 1152 divisors, whose sum is σ = 556356003840. Its totient is φ = 25362432000.

The previous prime is 125399070673. The next prime is 125399070739. The reversal of 125399070720 is 27070993521.

125399070720 is a `hidden beast` number, since 1 + 2 + 539 + 90 + 7 + 0 + 7 + 20 = 666.

125399070720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×125399070720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290948905 + ... + 290949335.

It is an arithmetic number, because the mean of its divisors is an integer number (482947920).

Almost surely, 2^125399070720 is an apocalyptic number.

125399070720 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 125399070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278178001920).

125399070720 is an abundant number, since it is smaller than the sum of its proper divisors (430956933120).

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

125399070720 is a wasteful number, since it uses less digits than its factorization.

125399070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 125399070720 in words is "one hundred twenty-five billion, three hundred ninety-nine million, seventy thousand, seven hundred twenty".