12133322333120 has 56 divisors (see below), whose sum is σ = 29888766028800. Its totient is φ = 4685972759552.

The previous prime is 12133322333107. The next prime is 12133322333123. The reversal of 12133322333120 is 2133322333121.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133322333123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 653725760 + ... + 653744319.

It is an arithmetic number, because the mean of its divisors is an integer number (533727964800).

Almost surely, 2^{12133322333120} is an apocalyptic number.

12133322333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133322333120 is an abundant number, since it is smaller than the sum of its proper divisors (17755443695680).

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

12133322333120 is a wasteful number, since it uses less digits than its factorization.

12133322333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307470125 (or 1307470115 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 12133322333120 its reverse (2133322333121), we get a palindrome (14266644666241).

Subtracting from 12133322333120 its reverse (2133322333121), we obtain a palindrome (9999999999999).

The spelling of 12133322333120 in words is "twelve trillion, one hundred thirty-three billion, three hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".