122775264 has 168 divisors, whose sum is σ = 382856040. Its totient is φ = 38631168.

The previous prime is 122775253. The next prime is 122775271. The reversal of 122775264 is 462577221.

It is a happy number.

122775264 is a `hidden beast` number, since 122 + 7 + 7 + 526 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 443094 + ... + 443370.

It is an arithmetic number, because the mean of its divisors is an integer number (2278905).

Almost surely, 2^122775264 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 122775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191428020).

122775264 is an abundant number, since it is smaller than the sum of its proper divisors (260080776).

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

122775264 is an equidigital number, since it uses as much as digits as its factorization.

122775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 122775264 is about 11080.3999927800. The cubic root of 122775264 is about 497.0159111915.

The spelling of 122775264 in words is "one hundred twenty-two million, seven hundred seventy-five thousand, two hundred sixty-four".