12305376180 has 36 divisors (see below), whose sum is σ = 37326308292. Its totient is φ = 3281433600.

The previous prime is 12305376151. The next prime is 12305376191. The reversal of 12305376180 is 8167350321.

12305376180 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 37 + 618 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5955517584 + 6349858596 = 77172^2 + 79686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12305376180² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34181421 + ... + 34181780.

It is an arithmetic number, because the mean of its divisors is an integer number (1036841897).

Almost surely, 2^12305376180 is an apocalyptic number.

12305376180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12305376180 is an abundant number, since it is smaller than the sum of its proper divisors (25020932112).

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

12305376180 is a wasteful number, since it uses less digits than its factorization.

12305376180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68363216 (or 68363211 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12305376180 in words is "twelve billion, three hundred five million, three hundred seventy-six thousand, one hundred eighty".