9218112121 has 9 divisors (see below), whose sum is σ = 9364284111. Its totient is φ = 9074191632.

The previous prime is 9218112103. The next prime is 9218112133. The reversal of 9218112121 is 1212118129.

The square root of 9218112121 is 96011.

It is a perfect power (a square), and thus also a powerful number.

9218112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7644879225 + 1573232896 = 87435^2 + 39664^2 .

It is not a de Polignac number, because 9218112121 - 2⁵ = 9218112089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9218112121.

It is not an unprimeable number, because it can be changed into a prime (9218112191) 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 8 ways as a sum of consecutive naturals, for example, 6432021 + ... + 6433453.

Almost surely, 2^9218112121 is an apocalyptic number.

9218112121 is the 96011-st square number.

9218112121 is the 48006-th centered octagonal number.

It is an amenable number.

9218112121 is a deficient number, since it is larger than the sum of its proper divisors (146171990).

9218112121 is an frugal number, since it uses more digits than its factorization.

9218112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1500 counting only the distinct ones).

The product of its digits is 576, while the sum is 28.

The cubic root of 9218112121 is about 2096.7532687273.

Multiplying 9218112121 by its product of digits (576), we get a square (5309632581696 = 2304264²).

The spelling of 9218112121 in words is "nine billion, two hundred eighteen million, one hundred twelve thousand, one hundred twenty-one".