125012160 has 560 divisors, whose sum is σ = 557637696. Its totient is φ = 25878528.

The previous prime is 125012117. The next prime is 125012177. The reversal of 125012160 is 61210521.

125012160 is a `hidden beast` number, since 1 + 2 + 501 + 2 + 160 = 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 (18).

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, 2358694 + ... + 2358746.

Almost surely, 2^125012160 is an apocalyptic number.

125012160 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 125012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278818848).

125012160 is an abundant number, since it is smaller than the sum of its proper divisors (432625536).

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

125012160 is a wasteful number, since it uses less digits than its factorization.

125012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 125012160 is about 11180.8836860062. The cubic root of 125012160 is about 500.0162128076.

Adding to 125012160 its reverse (61210521), we get a palindrome (186222681).

The spelling of 125012160 in words is "one hundred twenty-five million, twelve thousand, one hundred sixty".