12033504000 has 864 divisors, whose sum is σ = 50936610816. Its totient is φ = 2670796800.

The previous prime is 12033503987. The next prime is 12033504001. The reversal of 12033504000 is 40533021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12033504001) 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, 94751937 + ... + 94752063.

Almost surely, 2^12033504000 is an apocalyptic number.

12033504000 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 12033504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25468305408).

12033504000 is an abundant number, since it is smaller than the sum of its proper divisors (38903106816).

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

12033504000 is a wasteful number, since it uses less digits than its factorization.

12033504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 12033504000 in words is "twelve billion, thirty-three million, five hundred four thousand".