"Full Professor" is a just job title. Every institution has different standards.
In the US at least, there are thousands of (good) Bachelors, Masters, and sometimes even Ph.D.-granting colleges/universities that do not require an R1-level research agenda for the Full Professor rank.
And many students use "Professor" as a title for any instructor above the Highschool level, even for people who do not have the word "Professor" in their job title, such as ad juncts, full-time non-TT instructors, and sometimes even TAs.
In the US at least, there are thousands of (good) Bachelors, Masters, and sometimes even Ph.D.-granting colleges/universities that do not require an R1-level research agenda for the Full Professor rank.
And many students use "Professor" as a title for any instructor above the Highschool level, even for people who do not have the word "Professor" in their job title, such as ad juncts, full-time non-TT instructors, and sometimes even TAs.
This answer is US-specific