9912112122121 has 24 divisors (see below), whose sum is σ = 10962335664392. Its totient is φ = 8955520358400.

The previous prime is 9912112122079. The next prime is 9912112122131. The reversal of 9912112122121 is 1212212112199.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2774473205625 + 7137638916496 = 1665675^2 + 2671636^2 .

It is not a de Polignac number, because 9912112122121 - 2³³ = 9903522187529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9912112122131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23635555 + ... + 24051271.

Almost surely, 2^{9912112122121} is an apocalyptic number.

It is an amenable number.

9912112122121 is a deficient number, since it is larger than the sum of its proper divisors (1050223542271).

9912112122121 is a wasteful number, since it uses less digits than its factorization.

9912112122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416953 (or 416942 counting only the distinct ones).

The product of its digits is 2592, while the sum is 34.

The spelling of 9912112122121 in words is "nine trillion, nine hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".