122945256 has 256 divisors, whose sum is σ = 419020800. Its totient is φ = 32659200.

The previous prime is 122945237. The next prime is 122945261. The reversal of 122945256 is 652549221.

122945256 is a `hidden beast` number, since 122 + 9 + 4 + 525 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122945256.

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, 2015466 + ... + 2015526.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 2^122945256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122945256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209510400).

122945256 is an abundant number, since it is smaller than the sum of its proper divisors (296075544).

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

122945256 is a wasteful number, since it uses less digits than its factorization.

122945256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 122945256 is about 11088.0681816086. The cubic root of 122945256 is about 497.2451912659.

It can be divided in two parts, 122945 and 256, that added together give a square (123201 = 351²).

The spelling of 122945256 in words is "one hundred twenty-two million, nine hundred forty-five thousand, two hundred fifty-six".