Carbon is any atom with 6 protons. Carbon-12 is specifically atoms with 6 protons and 6 neutrons (for a total of 12 nucleons). It is the most common form of carbon naturally occurring (98.89% of natural carbon is carbon-12).
Electrons don’t factor into whether carbon is carbon-12. Electrons only care about the number of protons, not the number of neutrons. All carbon has 6 protons, so all carbon is carbon to an electron.
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