12131328 has 88 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 3665920.

The previous prime is 12131321. The next prime is 12131347. The reversal of 12131328 is 82313121.

It is a tau number, because it is divible by the number of its divisors (88).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33613 + ... + 33971.

Almost surely, 2^12131328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

12131328 is an abundant number, since it is smaller than the sum of its proper divisors (23240832).

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

12131328 is a wasteful number, since it uses less digits than its factorization.

12131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12131328 is about 3483.0055986174. The cubic root of 12131328 is about 229.7750036627.

Adding to 12131328 its reverse (82313121), we get a palindrome (94444449).

The spelling of 12131328 in words is "twelve million, one hundred thirty-one thousand, three hundred twenty-eight".