12027504000 has 512 divisors, whose sum is σ = 42160435200. Its totient is φ = 3028992000.

The previous prime is 12027503977. The next prime is 12027504007. The reversal of 12027504000 is 40572021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12027504007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87791932 + ... + 87792068.

It is an arithmetic number, because the mean of its divisors is an integer number (82344600).

Almost surely, 2^12027504000 is an apocalyptic number.

12027504000 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 12027504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080217600).

12027504000 is an abundant number, since it is smaller than the sum of its proper divisors (30132931200).

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

12027504000 is a wasteful number, since it uses less digits than its factorization.

12027504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The spelling of 12027504000 in words is "twelve billion, twenty-seven million, five hundred four thousand".