122090805 has 24 divisors (see below), whose sum is σ = 211916952. Its totient is φ = 65025024.

The previous prime is 122090777. The next prime is 122090809. The reversal of 122090805 is 508090221.

It can be written as a sum of positive squares in 4 ways, for example, as 18173169 + 103917636 = 4263^2 + 10194^2 .

It is not a de Polignac number, because 122090805 - 2²⁵ = 88536373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122090809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42577 + ... + 45353.

It is an arithmetic number, because the mean of its divisors is an integer number (8829873).

Almost surely, 2^122090805 is an apocalyptic number.

122090805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122090805 is a deficient number, since it is larger than the sum of its proper divisors (89826147).

122090805 is a wasteful number, since it uses less digits than its factorization.

122090805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 122090805 is about 11049.4708018077. The cubic root of 122090805 is about 496.0905859632.

The spelling of 122090805 in words is "one hundred twenty-two million, ninety thousand, eight hundred five".