122405504 has 32 divisors (see below), whose sum is σ = 262616340. Its totient is φ = 56494080.

The previous prime is 122405501. The next prime is 122405519. The reversal of 122405504 is 405504221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100801600 + 21603904 = 10040^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122405504.

It is not an unprimeable number, because it can be changed into a prime (122405501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35117 + ... + 38444.

Almost surely, 2^122405504 is an apocalyptic number.

It is an amenable number.

122405504 is an abundant number, since it is smaller than the sum of its proper divisors (140210836).

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

122405504 is an equidigital number, since it uses as much as digits as its factorization.

122405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73588 (or 73576 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 122405504 is about 11063.7020928801. The cubic root of 122405504 is about 496.5164582376.

Adding to 122405504 its reverse (405504221), we get a palindrome (527909725).

The spelling of 122405504 in words is "one hundred twenty-two million, four hundred five thousand, five hundred four".