12133122233100 has 144 divisors (see below), whose sum is σ = 38675720595456. Its totient is φ = 2912240480000.

The previous prime is 12133122233093. The next prime is 12133122233173. The reversal of 12133122233100 is 133222133121.

It is a super-2 number, since 2×12133122233100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17868204 + ... + 18534803.

It is an arithmetic number, because the mean of its divisors is an integer number (268581393024).

Almost surely, 2^{12133122233100} is an apocalyptic number.

12133122233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133122233100 is an abundant number, since it is smaller than the sum of its proper divisors (26542598362356).

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

12133122233100 is a wasteful number, since it uses less digits than its factorization.

12133122233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36403136 (or 36403129 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12133122233100 its reverse (133222133121), we get a palindrome (12266344366221).

The spelling of 12133122233100 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred".