121233312121 has 2 divisors, whose sum is σ = 121233312122. Its totient is φ = 121233312120.

The previous prime is 121233312077. The next prime is 121233312181. The reversal of 121233312121 is 121213332121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60624288400 + 60609023721 = 246220^2 + 246189^2 .

It is a cyclic number.

It is not a de Polignac number, because 121233312121 - 2¹¹ = 121233310073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121233312092 and 121233312101.

It is not a weakly prime, because it can be changed into another prime (121233312181) 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 as a sum of consecutive naturals, namely, 60616656060 + 60616656061.

It is an arithmetic number, because the mean of its divisors is an integer number (60616656061).

Almost surely, 2^121233312121 is an apocalyptic number.

It is an amenable number.

121233312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121233312121 is an equidigital number, since it uses as much as digits as its factorization.

121233312121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 121233312121 its reverse (121213332121), we get a palindrome (242446644242).

The spelling of 121233312121 in words is "one hundred twenty-one billion, two hundred thirty-three million, three hundred twelve thousand, one hundred twenty-one".