12812686080 has 144 divisors (see below), whose sum is σ = 41046087264. Its totient is φ = 3406233600.

The previous prime is 12812686009. The next prime is 12812686087. The reversal of 12812686080 is 8068621821.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12812686087) 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, 1289130 + ... + 1299030.

Almost surely, 2^12812686080 is an apocalyptic number.

12812686080 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 12812686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523043632).

12812686080 is an abundant number, since it is smaller than the sum of its proper divisors (28233401184).

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

12812686080 is an equidigital number, since it uses as much as digits as its factorization.

12812686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 12812686080 in words is "twelve billion, eight hundred twelve million, six hundred eighty-six thousand, eighty".