This is the 8080th most frequent Russian word.
курортном
"Курортном" means "resort" or "pertaining to a resort" in English.
In this sentence, курортном (resort) serves as an adjective describing the nature of the area as being designated primarily for leisure and relaxation.
Мы останавливались в курортном районе на берегу моря.
We stayed in a resort area by the sea.
Here, курортном again describes the coast as being associated with a resort, indicating facilities and an atmosphere suited for tourism and vacations.
На курортном побережье всегда много туристов.
There are always many tourists on the resort coast.
У родительном случае, курортном characterizes 'месте' (place), indicating it is known for resort-like qualities, such as scenic beauty and recreational opportunities.