122784256 has 40 divisors (see below), whose sum is σ = 280383840. Its totient is φ = 52620288.

The previous prime is 122784253. The next prime is 122784269. The reversal of 122784256 is 652487221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122784253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13546 + ... + 20713.

It is an arithmetic number, because the mean of its divisors is an integer number (7009596).

Almost surely, 2^122784256 is an apocalyptic number.

122784256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122784256 is an abundant number, since it is smaller than the sum of its proper divisors (157599584).

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

122784256 is an frugal number, since it uses more digits than its factorization.

122784256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34284 (or 34268 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 122784256 is about 11080.8057468760. The cubic root of 122784256 is about 497.0280446290.

It can be divided in two parts, 122 and 784256, that added together give a triangular number (784378 = T₁₂₅₂).

The spelling of 122784256 in words is "one hundred twenty-two million, seven hundred eighty-four thousand, two hundred fifty-six".