1201122122129 has 2 divisors, whose sum is σ = 1201122122130. Its totient is φ = 1201122122128.

The previous prime is 1201122122099. The next prime is 1201122122141. The reversal of 1201122122129 is 9212212211021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1194091635025 + 7030487104 = 1092745^2 + 83848^2 .

It is an emirp because it is prime and its reverse (9212212211021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1201122122129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201122122098 and 1201122122107.

It is not a weakly prime, because it can be changed into another prime (1201122122329) 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, 600561061064 + 600561061065.

It is an arithmetic number, because the mean of its divisors is an integer number (600561061065).

Almost surely, 2^{1201122122129} is an apocalyptic number.

It is an amenable number.

1201122122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201122122129 is an equidigital number, since it uses as much as digits as its factorization.

1201122122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 1201122122129 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-nine".