12133202120 has 64 divisors (see below), whose sum is σ = 30413502000. Its totient is φ = 4325465088.

The previous prime is 12133202101. The next prime is 12133202131. The reversal of 12133202120 is 2120233121.

12133202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4616658916 + 7516543204 = 67946^2 + 86698^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387215 + ... + 417374.

Almost surely, 2^12133202120 is an apocalyptic number.

12133202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133202120 is an abundant number, since it is smaller than the sum of its proper divisors (18280299880).

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

12133202120 is a wasteful number, since it uses less digits than its factorization.

12133202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804642 (or 804638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12133202120 its reverse (2120233121), we get a palindrome (14253435241).

The spelling of 12133202120 in words is "twelve billion, one hundred thirty-three million, two hundred two thousand, one hundred twenty".