12093984000 has 648 divisors, whose sum is σ = 50681679048. Its totient is φ = 2761113600.

The previous prime is 12093983977. The next prime is 12093984017. The reversal of 12093984000 is 48939021.

It can be written as a sum of positive squares in 4 ways, for example, as 22127616 + 12071856384 = 4704^2 + 109872^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14111572 + ... + 14112428.

Almost surely, 2^12093984000 is an apocalyptic number.

12093984000 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 12093984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340839524).

12093984000 is an abundant number, since it is smaller than the sum of its proper divisors (38587695048).

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

12093984000 is an equidigital number, since it uses as much as digits as its factorization.

12093984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12093984000 in words is "twelve billion, ninety-three million, nine hundred eighty-four thousand".