11120121220289 has 2 divisors, whose sum is σ = 11120121220290. Its totient is φ = 11120121220288.

The previous prime is 11120121220211. The next prime is 11120121220331. The reversal of 11120121220289 is 98202212102111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10089408962689 + 1030712257600 = 3176383^2 + 1015240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11120121220289 is a prime.

It is a super-3 number, since 3×11120121220289³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11120121225289) 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, 5560060610144 + 5560060610145.

It is an arithmetic number, because the mean of its divisors is an integer number (5560060610145).

Almost surely, 2^{11120121220289} is an apocalyptic number.

It is an amenable number.

11120121220289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11120121220289 is an equidigital number, since it uses as much as digits as its factorization.

11120121220289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 11120121220289 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, two hundred eighty-nine".