12105816816 has 80 divisors (see below), whose sum is σ = 31457986560. Its totient is φ = 4011528960.

The previous prime is 12105816809. The next prime is 12105816817. The reversal of 12105816816 is 61861850121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105816817) 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, 7149666 + ... + 7151358.

It is an arithmetic number, because the mean of its divisors is an integer number (393224832).

Almost surely, 2^12105816816 is an apocalyptic number.

12105816816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12105816816 is an abundant number, since it is smaller than the sum of its proper divisors (19352169744).

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

12105816816 is a wasteful number, since it uses less digits than its factorization.

12105816816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 12105816816 in words is "twelve billion, one hundred five million, eight hundred sixteen thousand, eight hundred sixteen".