1122404311121 has 2 divisors, whose sum is σ = 1122404311122. Its totient is φ = 1122404311120.

The previous prime is 1122404311027. The next prime is 1122404311151. The reversal of 1122404311121 is 1211134042211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 866833619521 + 255570691600 = 931039^2 + 505540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1122404311121 is a prime.

It is a super-3 number, since 3×1122404311121³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1122404311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561202155560 + 561202155561.

It is an arithmetic number, because the mean of its divisors is an integer number (561202155561).

Almost surely, 2^{1122404311121} is an apocalyptic number.

It is an amenable number.

1122404311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122404311121 is an equidigital number, since it uses as much as digits as its factorization.

1122404311121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 1122404311121 its reverse (1211134042211), we get a palindrome (2333538353332).

The spelling of 1122404311121 in words is "one trillion, one hundred twenty-two billion, four hundred four million, three hundred eleven thousand, one hundred twenty-one".