212211122000121 has 144 divisors (see below), whose sum is σ = 338987369223360. Its totient is φ = 127445191810560.

The previous prime is 212211122000099. The next prime is 212211122000149. The reversal of 212211122000121 is 121000221112212.

212211122000121 is a `hidden beast` number, since 212 + 2 + 111 + 220 + 0 + 0 + 121 = 666.

It is not a de Polignac number, because 212211122000121 - 2¹⁴ = 212211121983737 is a prime.

It is a super-3 number, since 3×212211122000121³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212211122000094 and 212211122000103.

It is not an unprimeable number, because it can be changed into a prime (212211122000191) 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 in 143 ways as a sum of consecutive naturals, for example, 9513196450 + ... + 9513218756.

It is an arithmetic number, because the mean of its divisors is an integer number (2354078952940).

Almost surely, 2^{212211122000121} is an apocalyptic number.

It is an amenable number.

212211122000121 is a deficient number, since it is larger than the sum of its proper divisors (126776247223239).

212211122000121 is a wasteful number, since it uses less digits than its factorization.

212211122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22744 (or 22584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212211122000121 its reverse (121000221112212), we get a palindrome (333211343112333).

The spelling of 212211122000121 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.