12133323120 has 160 divisors (see below), whose sum is σ = 38895796224. Its totient is φ = 3125606400.

The previous prime is 12133323071. The next prime is 12133323121. The reversal of 12133323120 is 2132333121.

12133323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133323121) 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 31 ways as a sum of consecutive naturals, for example, 5660769 + ... + 5662911.

Almost surely, 2^12133323120 is an apocalyptic number.

12133323120 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 12133323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447898112).

12133323120 is an abundant number, since it is smaller than the sum of its proper divisors (26762473104).

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

12133323120 is a wasteful number, since it uses less digits than its factorization.

12133323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12133323120 its reverse (2132333121), we get a palindrome (14265656241).

It can be divided in two parts, 121333 and 23120, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 12133323120 in words is "twelve billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".