125122816 has 144 divisors (see below), whose sum is σ = 317294208. Its totient is φ = 47923200.

The previous prime is 125122801. The next prime is 125122831. The reversal of 125122816 is 618221521.

It is an interprime number because it is at equal distance from previous prime (125122801) and next prime (125122831).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955071 + ... + 955201.

It is an arithmetic number, because the mean of its divisors is an integer number (2203432).

Almost surely, 2^125122816 is an apocalyptic number.

125122816 is a gapful number since it is divisible by the number (16) 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 125122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647104).

125122816 is an abundant number, since it is smaller than the sum of its proper divisors (192171392).

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

125122816 is a wasteful number, since it uses less digits than its factorization.

125122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 125122816 is about 11185.8310375224. The cubic root of 125122816 is about 500.1637010647.

The spelling of 125122816 in words is "one hundred twenty-five million, one hundred twenty-two thousand, eight hundred sixteen".