12 = 22 x 3.
12 is the sum of the first three even integers and the sum of thee consecutive odd integers: 12 = 2 + 4 + 6 = 3 + 4 + 5.
A regular dodecahedron has a regular pentagon on each of its 12 faces.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUZ_XAytMfCuTC-3BtbGUYP7C9_rAZ7jSH5UfQ3xpNDmEoKlsBWmAgAK_10w33vPANkgwz1svOFcstJdkq3YJFtlldrxsRyRhJjvgH-QLh4HKAmWSNpUC3WG3-jOft6g618-FGrpCGzhw/s320/dodecahedron.jpg)
12 has a unique representation as a sum of three squares: 12 = 22 + 22 + 22.
12 is the number of integer partitions of 11 into distinct parts.
12 is 22 in base 5.
There are 12 ways to arrange eight queens on a chessboard so that no queen can capture any other queen (not counting rotations and reflections as being different). Can you find one of these chessboard arrangements?
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzUfPzDqXmqrZdKkEl-3WHo2hGP9mdty0C06qHtngwWI91lqReY5ZUVX5vUx8l588AN-Pr38bgrJyAD_wAF5N_-X9cBYY_I0vdtIs-YO6KdAX7RTtLP2MFPlnNw36AMw9nNKHqzzhe-ZM/s200/n0012.jpg)
Source: Phillips, R. 1994. Numbers: Facts, Figures and Fiction. Cambridge University Press.