12820873189992 has 256 divisors, whose sum is σ = 40005139299840. Its totient is φ = 3340047384576.

The previous prime is 12820873189951. The next prime is 12820873190003. The reversal of 12820873189992 is 29998137802821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24361218 + ... + 24881934.

It is an arithmetic number, because the mean of its divisors is an integer number (156270075390).

Almost surely, 2^{12820873189992} is an apocalyptic number.

12820873189992 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 12820873189992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002569649920).

12820873189992 is an abundant number, since it is smaller than the sum of its proper divisors (27184266109848).

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

12820873189992 is a wasteful number, since it uses less digits than its factorization.

12820873189992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521020 (or 521016 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 69.

The spelling of 12820873189992 in words is "twelve trillion, eight hundred twenty billion, eight hundred seventy-three million, one hundred eighty-nine thousand, nine hundred ninety-two".