12133223100 has 108 divisors (see below), whose sum is σ = 38058156136. Its totient is φ = 3233208960.

The previous prime is 12133223093. The next prime is 12133223107. The reversal of 12133223100 is 132233121.

12133223100 is a `hidden beast` number, since 1 + 21 + 332 + 2 + 310 + 0 = 666.

12133223100 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 (12133223093) and next prime (12133223107).

It is a super-2 number, since 2×12133223100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133223107) 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 35 ways as a sum of consecutive naturals, for example, 1519719 + ... + 1527681.

Almost surely, 2^12133223100 is an apocalyptic number.

12133223100 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 12133223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029078068).

12133223100 is an abundant number, since it is smaller than the sum of its proper divisors (25924933036).

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

12133223100 is a wasteful number, since it uses less digits than its factorization.

12133223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133223100 its reverse (132233121), we get a palindrome (12265456221).

The spelling of 12133223100 in words is "twelve billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred".