125008220160 has 416 divisors, whose sum is σ = 450067272960. Its totient is φ = 33323581440.

The previous prime is 125008220143. The next prime is 125008220179. The reversal of 125008220160 is 61022800521.

It is a happy number.

125008220160 is a `hidden beast` number, since 1 + 2 + 500 + 82 + 20 + 1 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44788365 + ... + 44791155.

Almost surely, 2^125008220160 is an apocalyptic number.

125008220160 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 125008220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225033636480).

125008220160 is an abundant number, since it is smaller than the sum of its proper divisors (325059052800).

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

125008220160 is an frugal number, since it uses more digits than its factorization.

125008220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 125008220160 in words is "one hundred twenty-five billion, eight million, two hundred twenty thousand, one hundred sixty".