12320

12320 is a natural number that lies between 12319 and 12321. It is an even, composite number with several notable arithmetic properties.

The prime factorization of 12320 is 2^5 × 5 × 7 × 11. This implies that 12320 is divisible by many smaller integers, including 2, 5, 7, and 11, as well as by powers of two up to 32. An equivalent expression is 12320 = 111^2 − 1, which also factors as (111 − 1)(111 + 1) = 110 × 112.

In terms of digit-based properties, the sum of its digits is 1 + 2 + 3 + 2 + 0 = 8, so the number is not divisible by 3 or 9. It is divisible by 10 due to ending in a zero, and thus is also divisible by 2 and 5.

Representations in other bases include binary, octal, and hexadecimal. In binary, 12320 is 11000000100000. In octal, it is 30040_8, and in hexadecimal, it is 0x3020.

A small point of interest is that 12320 equals 111^2 − 1, highlighting its relationship to a nearby perfect square. This makes it an example often cited in discussions of factorization patterns and base conversions.