12133202113200 has 120 divisors (see below), whose sum is σ = 44419075195648. Its totient is φ = 2773303338240.

The previous prime is 12133202113183. The next prime is 12133202113229. The reversal of 12133202113200 is 231120233121.

12133202113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12133202113200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 722206012 + ... + 722222811.

Almost surely, 2^{12133202113200} is an apocalyptic number.

12133202113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133202113200 is an abundant number, since it is smaller than the sum of its proper divisors (32285873082448).

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

12133202113200 is a wasteful number, since it uses less digits than its factorization.

12133202113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444428851 (or 1444428840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12133202113200 its reverse (231120233121), we get a palindrome (12364322346321).

The spelling of 12133202113200 in words is "twelve trillion, one hundred thirty-three billion, two hundred two million, one hundred thirteen thousand, two hundred".