12133331120 has 80 divisors (see below), whose sum is σ = 30375868320. Its totient is φ = 4490391552.

The previous prime is 12133331117. The next prime is 12133331123. The reversal of 12133331120 is 2113333121.

12133331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12133331117) and next prime (12133331123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12133331092 and 12133331101.

It is not an unprimeable number, because it can be changed into a prime (12133331123) 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 15 ways as a sum of consecutive naturals, for example, 4634 + ... + 155846.

It is an arithmetic number, because the mean of its divisors is an integer number (379698354).

Almost surely, 2^12133331120 is an apocalyptic number.

12133331120 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 12133331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187934160).

12133331120 is an abundant number, since it is smaller than the sum of its proper divisors (18242537200).

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

12133331120 is a wasteful number, since it uses less digits than its factorization.

12133331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151302 (or 151296 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12133331120 its reverse (2113333121), we get a palindrome (14246664241).

It can be divided in two parts, 1213 and 3331120, that added together give a palindrome (3332333).

The spelling of 12133331120 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty".