12013407180 has 288 divisors, whose sum is σ = 38784432960. Its totient is φ = 3005184000.

The previous prime is 12013407157. The next prime is 12013407181. The reversal of 12013407180 is 8170431021.

It is not an unprimeable number, because it can be changed into a prime (12013407181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47862055 + ... + 47862305.

It is an arithmetic number, because the mean of its divisors is an integer number (134668170).

Almost surely, 2^12013407180 is an apocalyptic number.

12013407180 is a gapful number since it is divisible by the number (10) 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 12013407180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392216480).

12013407180 is an abundant number, since it is smaller than the sum of its proper divisors (26771025780).

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

12013407180 is a wasteful number, since it uses less digits than its factorization.

12013407180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12013407180 in words is "twelve billion, thirteen million, four hundred seven thousand, one hundred eighty".