12122011122121 has 2 divisors, whose sum is σ = 12122011122122. Its totient is φ = 12122011122120.

The previous prime is 12122011122077. The next prime is 12122011122187. The reversal of 12122011122121 is 12122111022121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8233089080896 + 3888922041225 = 2869336^2 + 1972035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12122011122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122011128121) 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, 6061005561060 + 6061005561061.

It is an arithmetic number, because the mean of its divisors is an integer number (6061005561061).

Almost surely, 2^{12122011122121} is an apocalyptic number.

It is an amenable number.

12122011122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122011122121 is an equidigital number, since it uses as much as digits as its factorization.

12122011122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122011122121 its reverse (12122111022121), we get a palindrome (24244122144242).

The spelling of 12122011122121 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".