212767121 has 16 divisors (see below), whose sum is σ = 258577920. Its totient is φ = 170903040.

The previous prime is 212767099. The next prime is 212767123. The reversal of 212767121 is 121767212.

It is not a de Polignac number, because 212767121 - 2¹⁸ = 212504977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212767123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24701 + ... + 32181.

It is an arithmetic number, because the mean of its divisors is an integer number (16161120).

Almost surely, 2^212767121 is an apocalyptic number.

It is an amenable number.

212767121 is a deficient number, since it is larger than the sum of its proper divisors (45810799).

212767121 is a wasteful number, since it uses less digits than its factorization.

212767121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744.

The product of its digits is 2352, while the sum is 29.

The square root of 212767121 is about 14586.5390343289. The cubic root of 212767121 is about 596.9915339508.

Subtracting from 212767121 its reverse (121767212), we obtain a palindrome (90999909).

The spelling of 212767121 in words is "two hundred twelve million, seven hundred sixty-seven thousand, one hundred twenty-one".