122805792 has 54 divisors (see below), whose sum is σ = 349764597. Its totient is φ = 40872576.

The previous prime is 122805757. The next prime is 122805811. The reversal of 122805792 is 297508221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122805792 is a `hidden beast` number, since 1 + 2 + 2 + 80 + 579 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113294736 + 9511056 = 10644^2 + 3084^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7836.

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

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 8 ways as a sum of consecutive naturals, for example, 187738 + ... + 188390.

Almost surely, 2^122805792 is an apocalyptic number.

122805792 is a gapful number since it is divisible by the number (12) 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 122805792

122805792 is an abundant number, since it is smaller than the sum of its proper divisors (226958805).

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

122805792 is an frugal number, since it uses more digits than its factorization.

122805792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 122805792 is about 11081.7774747556. Note that the first 3 decimals coincide. The cubic root of 122805792 is about 497.0571020195.

The spelling of 122805792 in words is "one hundred twenty-two million, eight hundred five thousand, seven hundred ninety-two".