Productionize - https://en.wiktionary.org/wiki/productionize
Productionalize - https://en.wiktionary.org/wiki/productionalize
The former is about fitness for the production environment. The latter is about your service|system|etc.'s ability to consume other production services. That's my read anyway.
Deploying is the act of building your code|project and moving the target artifact into an environment where it can start providing service. So simply saying you're "deploying" doesn't carry the same cost or render the same result as "putting your service in production"... Like, for example, you may deploy to a beta stage (or some other pre-prod development stage), you may promote your service to a gamma stage, you may test your service in data via automation and other integration testing methods. You may then finally promote your service to the production stage.
At that point, you've "productionalized" your service. During beta/gamma, you've "productionized" your service by ensuring the highest likelihood (via said testing and testing and testing) that your service can consume up/downstream dependencies sufficiently.
Pedantic, but pithy.