12107820816 has 480 divisors, whose sum is σ = 45454590720. Its totient is φ = 3052836864.

The previous prime is 12107820799. The next prime is 12107820833. The reversal of 12107820816 is 61802870121.

12107820816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12107820799) and next prime (12107820833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6328276 + ... + 6330188.

It is an arithmetic number, because the mean of its divisors is an integer number (94697064).

Almost surely, 2^12107820816 is an apocalyptic number.

12107820816 is a gapful number since it is divisible by the number (16) 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 12107820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727295360).

12107820816 is an abundant number, since it is smaller than the sum of its proper divisors (33346769904).

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

12107820816 is a wasteful number, since it uses less digits than its factorization.

12107820816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 12107820816 in words is "twelve billion, one hundred seven million, eight hundred twenty thousand, eight hundred sixteen".