12133213111200 has 144 divisors (see below), whose sum is σ = 39500418061440. Its totient is φ = 3234965637120.

The previous prime is 12133213111171. The next prime is 12133213111237. The reversal of 12133213111200 is 211131233121.

12133213111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13580692 + ... + 14446508.

It is an arithmetic number, because the mean of its divisors is an integer number (274308458760).

Almost surely, 2^{12133213111200} is an apocalyptic number.

12133213111200 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 12133213111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750209030720).

12133213111200 is an abundant number, since it is smaller than the sum of its proper divisors (27367204950240).

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

12133213111200 is a wasteful number, since it uses less digits than its factorization.

12133213111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871679 (or 871666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12133213111200 its reverse (211131233121), we get a palindrome (12344344344321).

The spelling of 12133213111200 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirteen million, one hundred eleven thousand, two hundred".