125116125120 has 560 divisors, whose sum is σ = 513956076480. Its totient is φ = 28299165696.

The previous prime is 125116125119. The next prime is 125116125137. The reversal of 125116125120 is 21521611521.

It is a happy number.

125116125120 is a `hidden beast` number, since 1 + 2 + 511 + 6 + 1 + 25 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17596126 + ... + 17603234.

It is an arithmetic number, because the mean of its divisors is an integer number (917778708).

Almost surely, 2^125116125120 is an apocalyptic number.

125116125120 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 125116125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256978038240).

125116125120 is an abundant number, since it is smaller than the sum of its proper divisors (388839951360).

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

125116125120 is an equidigital number, since it uses as much as digits as its factorization.

125116125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 125116125120 its reverse (21521611521), we get a palindrome (146637736641).

The spelling of 125116125120 in words is "one hundred twenty-five billion, one hundred sixteen million, one hundred twenty-five thousand, one hundred twenty".