212120011121 has 16 divisors (see below), whose sum is σ = 227851072848. Its totient is φ = 196754688000.

The previous prime is 212120011111. The next prime is 212120011123. The reversal of 212120011121 is 121110021212.

It can be written as a sum of positive squares in 8 ways, for example, as 837292096 + 211282719025 = 28936^2 + 459655^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120011121 - 2³⁰ = 211046269297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212120011096 and 212120011105.

It is not an unprimeable number, because it can be changed into a prime (212120011123) 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 15 ways as a sum of consecutive naturals, for example, 1548851 + ... + 1680231.

It is an arithmetic number, because the mean of its divisors is an integer number (14240692053).

Almost surely, 2^212120011121 is an apocalyptic number.

It is an amenable number.

212120011121 is a deficient number, since it is larger than the sum of its proper divisors (15731061727).

212120011121 is a wasteful number, since it uses less digits than its factorization.

212120011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132772.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212120011121 its reverse (121110021212), we get a palindrome (333230032333).

The spelling of 212120011121 in words is "two hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twenty-one".