12416644900 has 81 divisors (see below), whose sum is σ = 29645528563. Its totient is φ = 4510686400.

The previous prime is 12416644847. The next prime is 12416644937. The reversal of 12416644900 is 944661421.

The square root of 12416644900 is 111430.

It is a perfect power (a square), and thus also a powerful number.

12416644900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7410799396 + 5005845504 = 86086^2 + 70752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12416644900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12256794 + ... + 12257806.

Almost surely, 2^12416644900 is an apocalyptic number.

12416644900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12416644900 is the 111430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416644900

12416644900 is an abundant number, since it is smaller than the sum of its proper divisors (17228883663).

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

12416644900 is a wasteful number, since it uses less digits than its factorization.

12416644900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12416644900 in words is "twelve billion, four hundred sixteen million, six hundred forty-four thousand, nine hundred".