Out of curiosity, how does that work? Surely pixels are different sizes on different screens?
Yes, I believe a pixel varies in size according to screen resolution and size of monitor. But, I've done a bit to testing and I don't believe setting an image to a truly absolute size, meaning it will appear on all monitors at exactly the same physical dimensions, is possible. In other words, it makes no difference whether you specify pixels, cm, mm, or whatever, in your photo editing software, the actual size of the image will vary depending on the resolution and size of the monitor it is viewed on.
Even so, if you create set the image size to 120mm x 120mm in the software you use, the recipients will see this if they open it in software that tells them the size in mm. Most likely, that's what really matters. Since Paint does not have an option to select any unit of measure other than pixels, you might want to use a photo editor that lets you select a common unit of measure. PhotoFiltre offers cm as a choice. 120mm = 12 cm.