212000122012009 has 2 divisors, whose sum is σ = 212000122012010. Its totient is φ = 212000122012008.

The previous prime is 212000122011893. The next prime is 212000122012069. The reversal of 212000122012009 is 900210221000212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159430951800409 + 52569170211600 = 12626597^2 + 7250460^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000122012009 - 2¹⁵ = 212000121979241 is a prime.

It is a super-3 number, since 3×212000122012009³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212000122012069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000061006004 + 106000061006005.

It is an arithmetic number, because the mean of its divisors is an integer number (106000061006005).

Almost surely, 2^{212000122012009} is an apocalyptic number.

It is an amenable number.

212000122012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000122012009 is an equidigital number, since it uses as much as digits as its factorization.

212000122012009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 212000122012009 in words is "two hundred twelve trillion, one hundred twenty-two million, twelve thousand, nine".