122564505 has 32 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 55510272.

The previous prime is 122564503. The next prime is 122564513. The reversal of 122564505 is 505465221.

It is not a de Polignac number, because 122564505 - 2¹ = 122564503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122564503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6091 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2^122564505 is an apocalyptic number.

122564505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122564505 is a deficient number, since it is larger than the sum of its proper divisors (103630695).

122564505 is a wasteful number, since it uses less digits than its factorization.

122564505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833.

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 122564505 is about 11070.8854659417. The cubic root of 122564505 is about 496.7313517741.

It can be divided in two parts, 12256 and 4505, that added together give a palindrome (16761).

The spelling of 122564505 in words is "one hundred twenty-two million, five hundred sixty-four thousand, five hundred five".