How rare is a 1200 SAT?

Could you elaborate on the rarity of achieving a score of 1200 on the SAT? Is this a highly unusual accomplishment, or is it within the realm of possibility for many students? What percentile would this score typically fall into, and how does it compare to the average scores of recent years? Also, considering the changing nature of the SAT, has the perceived value or rarity of this score shifted over time? Additionally, how does this score compare to the scores needed for admission to top universities, and what strategies or resources would you recommend for students aiming to achieve such a high mark?