12122012122097 has 2 divisors, whose sum is σ = 12122012122098. Its totient is φ = 12122012122096.

The previous prime is 12122012122063. The next prime is 12122012122109. The reversal of 12122012122097 is 79022121022121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10288287191296 + 1833724930801 = 3207536^2 + 1354151^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122012122097 - 2²⁴ = 12121995344881 is a prime.

It is a super-2 number, since 2×12122012122097² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12122012128097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061006061048 + 6061006061049.

It is an arithmetic number, because the mean of its divisors is an integer number (6061006061049).

Almost surely, 2^{12122012122097} is an apocalyptic number.

It is an amenable number.

12122012122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122012122097 is an equidigital number, since it uses as much as digits as its factorization.

12122012122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 12122012122097 in words is "twelve trillion, one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, ninety-seven".