11242255224211 has 16 divisors (see below), whose sum is σ = 12322617366528. Its totient is φ = 10171641110400.

The previous prime is 11242255224197. The next prime is 11242255224251.

11242255224211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11242255224211 - 2²⁵ = 11242221669779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11242255224251) 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 in 15 ways as a sum of consecutive naturals, for example, 8448906 + ... + 9688576.

It is an arithmetic number, because the mean of its divisors is an integer number (770163585408).

Almost surely, 2^{11242255224211} is an apocalyptic number.

11242255224211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11242255224211 is a deficient number, since it is larger than the sum of its proper divisors (1080362142317).

11242255224211 is a wasteful number, since it uses less digits than its factorization.

11242255224211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243602.

The product of its digits is 25600, while the sum is 34.

It can be divided in two parts, 1124225 and 5224211, that added together give a palindrome (6348436).

The spelling of 11242255224211 in words is "eleven trillion, two hundred forty-two billion, two hundred fifty-five million, two hundred twenty-four thousand, two hundred eleven".