12133100 has 36 divisors (see below), whose sum is σ = 30091824. Its totient is φ = 4159680.

The previous prime is 12133073. The next prime is 12133129. The reversal of 12133100 is 133121.

12133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12133100² = 294424231220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7967 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (835884).

Almost surely, 2^12133100 is an apocalyptic number.

12133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133100 is an abundant number, since it is smaller than the sum of its proper divisors (17958724).

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

12133100 is a wasteful number, since it uses less digits than its factorization.

12133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17354 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 12133100 is about 3483.2599673295. The cubic root of 12133100 is about 229.7861907173.

Adding to 12133100 its reverse (133121), we get a palindrome (12266221).

The spelling of 12133100 in words is "twelve million, one hundred thirty-three thousand, one hundred".