12133412100 has 54 divisors (see below), whose sum is σ = 38031508970. Its totient is φ = 3235576320.

The previous prime is 12133412089. The next prime is 12133412113. The reversal of 12133412100 is 121433121.

12133412100 is a `hidden beast` number, since 121 + 33 + 412 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 465523776 + 11667888324 = 21576^2 + 108018^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6739885 + ... + 6741684.

Almost surely, 2^12133412100 is an apocalyptic number.

12133412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133412100 is an abundant number, since it is smaller than the sum of its proper divisors (25898096870).

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

12133412100 is a wasteful number, since it uses less digits than its factorization.

12133412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481589 (or 13481579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12133412100 its reverse (121433121), we get a palindrome (12254845221).

The spelling of 12133412100 in words is "twelve billion, one hundred thirty-three million, four hundred twelve thousand, one hundred".