122564020 has 12 divisors (see below), whose sum is σ = 257384484. Its totient is φ = 49025600.

The previous prime is 122564011. The next prime is 122564021. The reversal of 122564020 is 20465221.

It can be written as a sum of positive squares in 2 ways, for example, as 51093904 + 71470116 = 7148^2 + 8454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122563982 and 122564000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122564021) 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, 3064081 + ... + 3064120.

It is an arithmetic number, because the mean of its divisors is an integer number (21448707).

Almost surely, 2^122564020 is an apocalyptic number.

122564020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122564020 is an abundant number, since it is smaller than the sum of its proper divisors (134820464).

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

122564020 is a wasteful number, since it uses less digits than its factorization.

122564020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128210 (or 6128208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 122564020 is about 11070.8635616198. The cubic root of 122564020 is about 496.7306965681.

The spelling of 122564020 in words is "one hundred twenty-two million, five hundred sixty-four thousand, twenty".