12033133112200 has 96 divisors (see below), whose sum is σ = 28517457031560. Its totient is φ = 4720357324800.

The previous prime is 12033133112173. The next prime is 12033133112207. The reversal of 12033133112200 is 221133133021.

It can be written as a sum of positive squares in 12 ways, for example, as 112451574244 + 11920681537956 = 335338^2 + 3452634^2 .

It is not an unprimeable number, because it can be changed into a prime (12033133112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23929762 + ... + 24427438.

Almost surely, 2^{12033133112200} is an apocalyptic number.

12033133112200 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 12033133112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258728515780).

12033133112200 is an abundant number, since it is smaller than the sum of its proper divisors (16484323919360).

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

12033133112200 is a wasteful number, since it uses less digits than its factorization.

12033133112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500027 (or 500018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12033133112200 its reverse (221133133021), we get a palindrome (12254266245221).

The spelling of 12033133112200 in words is "twelve trillion, thirty-three billion, one hundred thirty-three million, one hundred twelve thousand, two hundred".