12432 has 40 divisors (see below), whose sum is σ = 37696. Its totient is φ = 3456.

The previous prime is 12421. The next prime is 12433. The reversal of 12432 is 23421.

12432 = T₄₈ + T₄₉ + ... + T₅₆.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 4 + 3⁷ + 2¹³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433) by changing a digit.

12432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 354.

2¹²⁴³² is an apocalyptic number.

12432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 111×112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848).

12432 is an abundant number, since it is smaller than the sum of its proper divisors (25264).

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

12432 is a wasteful number, since it uses less digits than its factorization.

12432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 12432 is about 111.4988789181. The cubic root of 12432 is about 23.1657838860.

Adding to 12432 its reverse (23421), we get a palindrome (35853).

It can be divided in two parts, 12 and 432, that multiplied together give a square (5184 = 72²).

The spelling of 12432 in words is "twelve thousand, four hundred thirty-two".