212261742437217 has 16 divisors (see below), whose sum is σ = 308792616871872. Its totient is φ = 128623370166720.

The previous prime is 212261742437189. The next prime is 212261742437287. The reversal of 212261742437217 is 712734247162212.

It is not a de Polignac number, because 212261742437217 - 2⁷ = 212261742437089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212261742437217.

It is not an unprimeable number, because it can be changed into a prime (212261742437287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502538158 + ... + 502960359.

It is an arithmetic number, because the mean of its divisors is an integer number (19299538554492).

Almost surely, 2^{212261742437217} is an apocalyptic number.

It is an amenable number.

212261742437217 is a deficient number, since it is larger than the sum of its proper divisors (96530874434655).

212261742437217 is a wasteful number, since it uses less digits than its factorization.

212261742437217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005504928.

The product of its digits is 3161088, while the sum is 51.

Adding to 212261742437217 its reverse (712734247162212), we get a palindrome (924995989599429).

The spelling of 212261742437217 in words is "two hundred twelve trillion, two hundred sixty-one billion, seven hundred forty-two million, four hundred thirty-seven thousand, two hundred seventeen".