The above is the English explanation found on the Internet.
If we say that mountain climbing is a professional mountaineering activity, we should prepare a lot of equipment and tools. If you want to climb Mount Everest or something, to conquer mountains, you can really say so.
However, people usually like to "climb mountains". In fact, many of them just walk on hillsides or hills. It is estimated that the equipment is just a good pair of sports shoes or hiking shoes. In this case, it is not appropriate to call it "mountain climbing".
We can say "hiking" or "climbing", which means "climbing" in hilly areas, hiking in hills, hiking in hills, and some hills we can call hills.
English example:
I like climbing mountains with my friends on weekends.
I want to go hiking in the mountains with my friends at the weekend.