122456256 has 112 divisors (see below), whose sum is σ = 354348288. Its totient is φ = 37094400.

The previous prime is 122456251. The next prime is 122456261. The reversal of 122456256 is 652654221.

It is an interprime number because it is at equal distance from previous prime (122456251) and next prime (122456261).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122456251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176871 + ... + 177561.

It is an arithmetic number, because the mean of its divisors is an integer number (3163824).

Almost surely, 2^122456256 is an apocalyptic number.

122456256 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 122456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177174144).

122456256 is an abundant number, since it is smaller than the sum of its proper divisors (231892032).

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

122456256 is a wasteful number, since it uses less digits than its factorization.

122456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 122456256 is about 11065.9954816546. The cubic root of 122456256 is about 496.5850709512.

The spelling of 122456256 in words is "one hundred twenty-two million, four hundred fifty-six thousand, two hundred fifty-six".