12305464900 has 27 divisors (see below), whose sum is σ = 26705266231. Its totient is φ = 4921742240.

The previous prime is 12305464877. The next prime is 12305464903. The reversal of 12305464900 is 946450321.

It is a happy number.

The square root of 12305464900 is 110930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 599956036 + 11705508864 = 24494^2 + 108192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12305464903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1103754 + ... + 1114846.

Almost surely, 2^12305464900 is an apocalyptic number.

12305464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12305464900 is the 110930-th square number.

It is an amenable number.

12305464900 is an abundant number, since it is smaller than the sum of its proper divisors (14399801331).

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

12305464900 is an frugal number, since it uses more digits than its factorization.

12305464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22200 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 12305464900 in words is "twelve billion, three hundred five million, four hundred sixty-four thousand, nine hundred".