12276432 has 120 divisors (see below), whose sum is σ = 41396160. Its totient is φ = 3317760.

The previous prime is 12276427. The next prime is 12276463. The reversal of 12276432 is 23467221.

12276432 is a `hidden beast` number, since 1 + 227 + 6 + 432 = 666.

12276432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

Its product of digits (4032) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 12276396 and 12276405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18832 + ... + 19472.

It is an arithmetic number, because the mean of its divisors is an integer number (344968).

Almost surely, 2^12276432 is an apocalyptic number.

12276432 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 12276432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698080).

12276432 is an abundant number, since it is smaller than the sum of its proper divisors (29119728).

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

12276432 is a wasteful number, since it uses less digits than its factorization.

12276432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12276432 is about 3503.7739653123. The cubic root of 12276432 is about 230.6874955668.

The spelling of 12276432 in words is "twelve million, two hundred seventy-six thousand, four hundred thirty-two".