Is Carbon-12 an isotope?

I'm just revising some Chemistry GCSE, and I read that an isotope is an element with the same number of protons but different numbers of neutrons. I then read that carbon-12 and carbon-14 are a PAIR of isotopes used for carbon dating. BUT Carbon-12 shouldn't be an isotope because it has 6 protons 6 electrons and 6 neutrons (therefore having the same number of neutrons as electrons and so it could not be an isotope???) Someone please help explain this! And if something isn't an isotope what would it be called?? Thank you!