12812105900 has 72 divisors (see below), whose sum is σ = 30745417584. Its totient is φ = 4595097600.

The previous prime is 12812105881. The next prime is 12812105927. The reversal of 12812105900 is 950121821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524 + ... + 160076.

Almost surely, 2^12812105900 is an apocalyptic number.

12812105900 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 12812105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372708792).

12812105900 is an abundant number, since it is smaller than the sum of its proper divisors (17933311684).

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

12812105900 is a wasteful number, since it uses less digits than its factorization.

12812105900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159651 (or 159644 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 12812105900 in words is "twelve billion, eight hundred twelve million, one hundred five thousand, nine hundred".