212011222122009 has 12 divisors (see below), whose sum is σ = 309270495638052. Its totient is φ = 139941400740000.

The previous prime is 212011222121999. The next prime is 212011222122053. The reversal of 212011222122009 is 900221222110212.

212011222122009 is a `hidden beast` number, since 2 + 1 + 201 + 12 + 221 + 220 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97599382977600 + 114411839144409 = 9879240^2 + 10696347^2 .

It is not a de Polignac number, because 212011222122009 - 2⁸ = 212011222121753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212011222122709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116617833042 + ... + 116617834859.

It is an arithmetic number, because the mean of its divisors is an integer number (25772541303171).

Almost surely, 2^{212011222122009} is an apocalyptic number.

It is an amenable number.

212011222122009 is a deficient number, since it is larger than the sum of its proper divisors (97259273516043).

212011222122009 is a wasteful number, since it uses less digits than its factorization.

212011222122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233235668008 (or 233235668005 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 212011222122009 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, nine".