12102872679680 has 144 divisors (see below), whose sum is σ = 30804717971664. Its totient is φ = 4540158443520.

The previous prime is 12102872679659. The next prime is 12102872679713. The reversal of 12102872679680 is 8697627820121.

It can be written as a sum of positive squares in 8 ways, for example, as 132158423296 + 11970714256384 = 363536^2 + 3459872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5124884 + ... + 7104236.

It is an arithmetic number, because the mean of its divisors is an integer number (213921652581).

Almost surely, 2^{12102872679680} is an apocalyptic number.

12102872679680 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 12102872679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402358985832).

12102872679680 is an abundant number, since it is smaller than the sum of its proper divisors (18701845291984).

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

12102872679680 is a wasteful number, since it uses less digits than its factorization.

12102872679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979672 (or 1979658 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 12102872679680 in words is "twelve trillion, one hundred two billion, eight hundred seventy-two million, six hundred seventy-nine thousand, six hundred eighty".