212120017 has 2 divisors, whose sum is σ = 212120018. Its totient is φ = 212120016.

The previous prime is 212120003. The next prime is 212120021. The reversal of 212120017 is 710021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196112016 + 16008001 = 14004^2 + 4001^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120017 - 2⁷ = 212119889 is a prime.

It is a super-2 number, since 2×212120017² = 89989803224160578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212129017) 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 as a sum of consecutive naturals, namely, 106060008 + 106060009.

It is an arithmetic number, because the mean of its divisors is an integer number (106060009).

Almost surely, 2^212120017 is an apocalyptic number.

It is an amenable number.

212120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120017 is an equidigital number, since it uses as much as digits as its factorization.

212120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 212120017 is about 14564.3405961272. The cubic root of 212120017 is about 596.3856948625.

Adding to 212120017 its reverse (710021212), we get a palindrome (922141229).

The spelling of 212120017 in words is "two hundred twelve million, one hundred twenty thousand, seventeen".