12132144 has 60 divisors (see below), whose sum is σ = 34219536. Its totient is φ = 4012416.

The previous prime is 12132103. The next prime is 12132151. The reversal of 12132144 is 44123121.

12132144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 24669 + ... + 25155.

Almost surely, 2^12132144 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 12132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109768).

12132144 is an abundant number, since it is smaller than the sum of its proper divisors (22087392).

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

12132144 is a wasteful number, since it uses less digits than its factorization.

12132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12132144 is about 3483.1227368555. The cubic root of 12132144 is about 229.7801553988.

Adding to 12132144 its reverse (44123121), we get a palindrome (56255265).

The spelling of 12132144 in words is "twelve million, one hundred thirty-two thousand, one hundred forty-four".