12871183680 has 336 divisors, whose sum is σ = 48214483200. Its totient is φ = 3139153920.

The previous prime is 12871183627. The next prime is 12871183691. The reversal of 12871183680 is 8638117821.

It is a happy number.

12871183680 is a `hidden beast` number, since 1 + 287 + 1 + 1 + 8 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582825 + ... + 1590935.

Almost surely, 2^12871183680 is an apocalyptic number.

12871183680 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 12871183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24107241600).

12871183680 is an abundant number, since it is smaller than the sum of its proper divisors (35343299520).

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

12871183680 is a wasteful number, since it uses less digits than its factorization.

12871183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12871183680 in words is "twelve billion, eight hundred seventy-one million, one hundred eighty-three thousand, six hundred eighty".