12180890576 has 40 divisors (see below), whose sum is σ = 24923717280. Its totient is φ = 5751057024.

The previous prime is 12180890573. The next prime is 12180890629. The reversal of 12180890576 is 67509808121.

It is a super-2 number, since 2×12180890576² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12180890576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180890573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28070 + ... + 158586.

It is an arithmetic number, because the mean of its divisors is an integer number (623092932).

Almost surely, 2^12180890576 is an apocalyptic number.

12180890576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12180890576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461858640).

12180890576 is an abundant number, since it is smaller than the sum of its proper divisors (12742826704).

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

12180890576 is a wasteful number, since it uses less digits than its factorization.

12180890576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130851 (or 130845 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 12180890576 in words is "twelve billion, one hundred eighty million, eight hundred ninety thousand, five hundred seventy-six".