212484585076201 has 27 divisors (see below), whose sum is σ = 220272535798077. Its totient is φ = 204965101911000.

The previous prime is 212484585076177. The next prime is 212484585076237. The reversal of 212484585076201 is 102670585484212.

The square root of 212484585076201 is 14576851.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 212484585076201 - 2¹³ = 212484585068009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212484585076601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194761305666 + ... + 194761306756.

Almost surely, 2^{212484585076201} is an apocalyptic number.

212484585076201 is the 14576851-st square number.

212484585076201 is the 7288426-th centered octagonal number.

It is an amenable number.

212484585076201 is a deficient number, since it is larger than the sum of its proper divisors (7787950721876).

212484585076201 is an frugal number, since it uses more digits than its factorization.

212484585076201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 212484585076201 in words is "two hundred twelve trillion, four hundred eighty-four billion, five hundred eighty-five million, seventy-six thousand, two hundred one".