12006180672 has 112 divisors (see below), whose sum is σ = 32811305472. Its totient is φ = 3872171520.

The previous prime is 12006180671. The next prime is 12006180677. The reversal of 12006180672 is 27608160021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006180671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876597 + ... + 890187.

Almost surely, 2^12006180672 is an apocalyptic number.

12006180672 is a gapful number since it is divisible by the number (12) 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 12006180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405652736).

12006180672 is an abundant number, since it is smaller than the sum of its proper divisors (20805124800).

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

12006180672 is a wasteful number, since it uses less digits than its factorization.

12006180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 12006180672 in words is "twelve billion, six million, one hundred eighty thousand, six hundred seventy-two".