11242244224211 has 64 divisors (see below), whose sum is σ = 15255448922112. Its totient is φ = 8067085488000.

The previous prime is 11242244224153. The next prime is 11242244224229.

11242244224211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11242244224211 - 2⁶ = 11242244224147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11242244220211) 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 in 63 ways as a sum of consecutive naturals, for example, 50881706 + ... + 51102176.

It is an arithmetic number, because the mean of its divisors is an integer number (238366389408).

Almost surely, 2^{11242244224211} is an apocalyptic number.

11242244224211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11242244224211 is a deficient number, since it is larger than the sum of its proper divisors (4013204697901).

11242244224211 is a wasteful number, since it uses less digits than its factorization.

11242244224211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220945 (or 220923 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 1124224 and 4224211, that added together give a palindrome (5348435).

The spelling of 11242244224211 in words is "eleven trillion, two hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, two hundred eleven".