12033133200 has 600 divisors, whose sum is σ = 49619428320. Its totient is φ = 2762035200.

The previous prime is 12033133187. The next prime is 12033133207. The reversal of 12033133200 is 233133021.

12033133200 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 (12033133207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6770712 + ... + 6772488.

Almost surely, 2^12033133200 is an apocalyptic number.

12033133200 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 12033133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809714160).

12033133200 is an abundant number, since it is smaller than the sum of its proper divisors (37586295120).

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

12033133200 is a wasteful number, since it uses less digits than its factorization.

12033133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033133200 its reverse (233133021), we get a palindrome (12266266221).

The spelling of 12033133200 in words is "twelve billion, thirty-three million, one hundred thirty-three thousand, two hundred".