12133152 has 120 divisors (see below), whose sum is σ = 37078272. Its totient is φ = 3888000.

The previous prime is 12133139. The next prime is 12133159. The reversal of 12133152 is 25133121.

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

It is not an unprimeable number, because it can be changed into a prime (12133159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80277 + ... + 80427.

Almost surely, 2^12133152 is an apocalyptic number.

12133152 is a gapful number since it is divisible by the number (12) 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 12133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539136).

12133152 is an abundant number, since it is smaller than the sum of its proper divisors (24945120).

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

12133152 is a wasteful number, since it uses less digits than its factorization.

12133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12133152 is about 3483.2674315935. The cubic root of 12133152 is about 229.7865189891.

Adding to 12133152 its reverse (25133121), we get a palindrome (37266273).

The spelling of 12133152 in words is "twelve million, one hundred thirty-three thousand, one hundred fifty-two".