212123117 has 2 divisors, whose sum is σ = 212123118. Its totient is φ = 212123116.

The previous prime is 212123083. The next prime is 212123143. The reversal of 212123117 is 711321212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159037321 + 53085796 = 12611^2 + 7286^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123117 - 2¹⁴ = 212106733 is a prime.

It is equal to p_11712260 and since 212123117 and 11712260 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212125117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061558 + 106061559.

It is an arithmetic number, because the mean of its divisors is an integer number (106061559).

Almost surely, 2^212123117 is an apocalyptic number.

It is an amenable number.

212123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123117 is an equidigital number, since it uses as much as digits as its factorization.

212123117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 20.

The square root of 212123117 is about 14564.4470200554. The cubic root of 212123117 is about 596.3886001150.

Adding to 212123117 its reverse (711321212), we get a palindrome (923444329).

The spelling of 212123117 in words is "two hundred twelve million, one hundred twenty-three thousand, one hundred seventeen".