12100815936 has 448 divisors, whose sum is σ = 41082163200. Its totient is φ = 3456921600.

The previous prime is 12100815911. The next prime is 12100815967. The reversal of 12100815936 is 63951800121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12100815936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38909221 + ... + 38909531.

Almost surely, 2^12100815936 is an apocalyptic number.

12100815936 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 12100815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541081600).

12100815936 is an abundant number, since it is smaller than the sum of its proper divisors (28981347264).

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

12100815936 is a wasteful number, since it uses less digits than its factorization.

12100815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12100815936 in words is "twelve billion, one hundred million, eight hundred fifteen thousand, nine hundred thirty-six".