I see a lot of people around me use this phrase, but it sounds wrong to me: "The security test will be performed on the productive system" rather than "... on the production system". The context is a system (such as a server) that is used by real users, i.e. for production work, rather than solely for development or testing purposes.
Searching online, it seems to be incorrect to substitute the word, but I can't find anything that answers the question directly. The main pointer is simply the number of times one phrase ("productive system" vs "production system") is used in the context that I'm looking for.