12906018180 has 288 divisors, whose sum is σ = 45372337920. Its totient is φ = 2934743040.

The previous prime is 12906018143. The next prime is 12906018187. The reversal of 12906018180 is 8181060921.

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

It is not an unprimeable number, because it can be changed into a prime (12906018187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15382201 + ... + 15383039.

It is an arithmetic number, because the mean of its divisors is an integer number (157542840).

Almost surely, 2^12906018180 is an apocalyptic number.

12906018180 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 12906018180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686168960).

12906018180 is an abundant number, since it is smaller than the sum of its proper divisors (32466319740).

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

12906018180 is a wasteful number, since it uses less digits than its factorization.

12906018180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12906018180 in words is "twelve billion, nine hundred six million, eighteen thousand, one hundred eighty".