222312033121 has 2 divisors, whose sum is σ = 222312033122. Its totient is φ = 222312033120.

The previous prime is 222312033109. The next prime is 222312033131. The reversal of 222312033121 is 121330213222.

222312033121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201321818721 + 20990214400 = 448689^2 + 144880^2 .

It is a cyclic number.

It is not a de Polignac number, because 222312033121 - 2¹⁹ = 222311508833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222312033092 and 222312033101.

It is not a weakly prime, because it can be changed into another prime (222312033131) 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 as a sum of consecutive naturals, namely, 111156016560 + 111156016561.

It is an arithmetic number, because the mean of its divisors is an integer number (111156016561).

Almost surely, 2^222312033121 is an apocalyptic number.

It is an amenable number.

222312033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222312033121 is an equidigital number, since it uses as much as digits as its factorization.

222312033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 222312033121 its reverse (121330213222), we get a palindrome (343642246343).

The spelling of 222312033121 in words is "two hundred twenty-two billion, three hundred twelve million, thirty-three thousand, one hundred twenty-one".