Heard a similar story about why the german emergency number is 110 and not the easier to memorize/type 111: The latter is 3 clicks on the line with generous spacing requirements, the former 12 clicks. So 111 would be much more prone to misdialing than 110.
(I guess the international number 112 is a compromise. Still a low number of clicks, but I suppose the timing would be more difficult to get right?)