12012904800 has 576 divisors, whose sum is σ = 47246976000. Its totient is φ = 2928199680.

The previous prime is 12012904759. The next prime is 12012904801. The reversal of 12012904800 is 840921021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012904801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50263081 + ... + 50263319.

It is an arithmetic number, because the mean of its divisors is an integer number (82026000).

Almost surely, 2^12012904800 is an apocalyptic number.

12012904800 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 12012904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488000).

12012904800 is an abundant number, since it is smaller than the sum of its proper divisors (35234071200).

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

12012904800 is a wasteful number, since it uses less digits than its factorization.

12012904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12012904800 in words is "twelve billion, twelve million, nine hundred four thousand, eight hundred".