12090987936 has 144 divisors (see below), whose sum is σ = 35717782464. Its totient is φ = 4023489024.

The previous prime is 12090987907. The next prime is 12090987959. The reversal of 12090987936 is 63978909021.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6896436 + ... + 6898188.

It is an arithmetic number, because the mean of its divisors is an integer number (248040156).

Almost surely, 2^12090987936 is an apocalyptic number.

12090987936 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 12090987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858891232).

12090987936 is an abundant number, since it is smaller than the sum of its proper divisors (23626794528).

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

12090987936 is an equidigital number, since it uses as much as digits as its factorization.

12090987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 12090987936 in words is "twelve billion, ninety million, nine hundred eighty-seven thousand, nine hundred thirty-six".