125716404072120 has 256 divisors, whose sum is σ = 397466441769600. Its totient is φ = 31764181155840.

The previous prime is 125716404072097. The next prime is 125716404072139. The reversal of 125716404072120 is 21270404617521.

It is a super-2 number, since 2×125716404072120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91233384 + ... + 92601096.

Almost surely, 2^{125716404072120} is an apocalyptic number.

125716404072120 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 125716404072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198733220884800).

125716404072120 is an abundant number, since it is smaller than the sum of its proper divisors (271750037697480).

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

125716404072120 is a wasteful number, since it uses less digits than its factorization.

125716404072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368250 (or 1368246 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

Adding to 125716404072120 its reverse (21270404617521), we get a palindrome (146986808689641).

The spelling of 125716404072120 in words is "one hundred twenty-five trillion, seven hundred sixteen billion, four hundred four million, seventy-two thousand, one hundred twenty".