12379080816900 has 576 divisors, whose sum is σ = 46284537600000. Its totient is φ = 2779622438400.

The previous prime is 12379080816889. The next prime is 12379080816929. The reversal of 12379080816900 is 961808097321.

It is a super-2 number, since 2×12379080816900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2153255226 + ... + 2153260974.

It is an arithmetic number, because the mean of its divisors is an integer number (80355100000).

Almost surely, 2^{12379080816900} is an apocalyptic number.

12379080816900 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 12379080816900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142268800000).

12379080816900 is an abundant number, since it is smaller than the sum of its proper divisors (33905456783100).

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

12379080816900 is a wasteful number, since it uses less digits than its factorization.

12379080816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12379080816900 in words is "twelve trillion, three hundred seventy-nine billion, eighty million, eight hundred sixteen thousand, nine hundred".