122468900 has 36 divisors (see below), whose sum is σ = 266480340. Its totient is φ = 48854400.

The previous prime is 122468891. The next prime is 122468903. The reversal of 122468900 is 9864221.

It can be written as a sum of positive squares in 6 ways, for example, as 10278436 + 112190464 = 3206^2 + 10592^2 .

It is not an unprimeable number, because it can be changed into a prime (122468903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40646 + ... + 43554.

Almost surely, 2^122468900 is an apocalyptic number.

122468900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122468900 is an abundant number, since it is smaller than the sum of its proper divisors (144011440).

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

122468900 is a wasteful number, since it uses less digits than its factorization.

122468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 122468900 is about 11066.5667666174. The cubic root of 122468900 is about 496.6021616951.

The spelling of 122468900 in words is "one hundred twenty-two million, four hundred sixty-eight thousand, nine hundred".