12582108900 has 81 divisors (see below), whose sum is σ = 39448471881. Its totient is φ = 3354331680.

The previous prime is 12582108887. The next prime is 12582108937. The reversal of 12582108900 is 980128521.

The square root of 12582108900 is 112170.

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

It can be written as a sum of positive squares in only one way, i.e., 4529559204 + 8052549696 = 67302^2 + 89736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3363231 + ... + 3366969.

Almost surely, 2^12582108900 is an apocalyptic number.

12582108900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12582108900 is the 112170-th square number.

It is an amenable number.

12582108900 is an abundant number, since it is smaller than the sum of its proper divisors (26866362981).

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

12582108900 is an equidigital number, since it uses as much as digits as its factorization.

12582108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 12582108900 by its sum of digits (36), we get a square (452955920400 = 673020²).

12582108900 divided by its sum of digits (36) gives a square (349503025 = 18695²).

The spelling of 12582108900 in words is "twelve billion, five hundred eighty-two million, one hundred eight thousand, nine hundred".