12268032 has 120 divisors (see below), whose sum is σ = 38252016. Its totient is φ = 3483648.

The previous prime is 12268031. The next prime is 12268037. The reversal of 12268032 is 23086221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12267993 and 12268011.

It is not an unprimeable number, because it can be changed into a prime (12268031) 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, 75183 + ... + 75345.

Almost surely, 2^12268032 is an apocalyptic number.

12268032 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 12268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126008).

12268032 is an abundant number, since it is smaller than the sum of its proper divisors (25983984).

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

12268032 is an equidigital number, since it uses as much as digits as its factorization.

12268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12268032 is about 3502.5750527291. The cubic root of 12268032 is about 230.6348685196.

The spelling of 12268032 in words is "twelve million, two hundred sixty-eight thousand, thirty-two".