212514201 has 24 divisors (see below), whose sum is σ = 311318280. Its totient is φ = 139680000.

The previous prime is 212514163. The next prime is 212514223. The reversal of 212514201 is 102415212.

It can be written as a sum of positive squares in 4 ways, for example, as 95355225 + 117158976 = 9765^2 + 10824^2 .

It is not a de Polignac number, because 212514201 - 2¹⁰ = 212513177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212514271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353301 + ... + 353901.

It is an arithmetic number, because the mean of its divisors is an integer number (12971595).

Almost surely, 2^212514201 is an apocalyptic number.

It is an amenable number.

212514201 is a deficient number, since it is larger than the sum of its proper divisors (98804079).

212514201 is a wasteful number, since it uses less digits than its factorization.

212514201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212514201 is about 14577.8668192572. The cubic root of 212514201 is about 596.7548887302.

Adding to 212514201 its reverse (102415212), we get a palindrome (314929413).

It can be divided in two parts, 21251 and 4201, that added together give a palindrome (25452).

The spelling of 212514201 in words is "two hundred twelve million, five hundred fourteen thousand, two hundred one".