12114432 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3655680.

The previous prime is 12114407. The next prime is 12114437. The reversal of 12114432 is 23441121.

It is a super-3 number, since 3×12114432³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12114437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50569 + ... + 50807.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^12114432 is an apocalyptic number.

12114432 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 12114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

12114432 is an abundant number, since it is smaller than the sum of its proper divisors (26186688).

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

12114432 is a wasteful number, since it uses less digits than its factorization.

12114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

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

The square root of 12114432 is about 3480.5792621344. The cubic root of 12114432 is about 229.6682804687.

Adding to 12114432 its reverse (23441121), we get a palindrome (35555553).

The spelling of 12114432 in words is "twelve million, one hundred fourteen thousand, four hundred thirty-two".