12318780100 has 81 divisors (see below), whose sum is σ = 29411985351. Its totient is φ = 4475116800.

The previous prime is 12318780083. The next prime is 12318780113. The reversal of 12318780100 is 108781321.

It is a happy number.

The square root of 12318780100 is 110990.

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 1370924676 + 10947855424 = 37026^2 + 104632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12208396 + ... + 12209404.

Almost surely, 2^12318780100 is an apocalyptic number.

12318780100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12318780100 is the 110990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318780100

12318780100 is an abundant number, since it is smaller than the sum of its proper divisors (17093205251).

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

12318780100 is a wasteful number, since it uses less digits than its factorization.

12318780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 12318780100 in words is "twelve billion, three hundred eighteen million, seven hundred eighty thousand, one hundred".