12003984000 has 512 divisors, whose sum is σ = 45470131200. Its totient is φ = 3110400000.

The previous prime is 12003983947. The next prime is 12003984023. The reversal of 12003984000 is 48930021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15983625 + ... + 15984375.

It is an arithmetic number, because the mean of its divisors is an integer number (88808850).

Almost surely, 2^12003984000 is an apocalyptic number.

12003984000 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 12003984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22735065600).

12003984000 is an abundant number, since it is smaller than the sum of its proper divisors (33466147200).

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

12003984000 is an equidigital number, since it uses as much as digits as its factorization.

12003984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12003984000 in words is "twelve billion, three million, nine hundred eighty-four thousand".