11224266242211 has 12 divisors (see below), whose sum is σ = 17686722563640. Its totient is φ = 6802585601280.

The previous prime is 11224266242149. The next prime is 11224266242251.

11224266242211 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 2 + 6 + 624 + 2 + 21 + 1 = 666.

11224266242211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11224266242211 - 2¹¹ = 11224266240163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11224266242251) 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 11 ways as a sum of consecutive naturals, for example, 56688213246 + ... + 56688213443.

It is an arithmetic number, because the mean of its divisors is an integer number (1473893546970).

Almost surely, 2^{11224266242211} is an apocalyptic number.

11224266242211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11224266242211 is a deficient number, since it is larger than the sum of its proper divisors (6462456321429).

11224266242211 is a wasteful number, since it uses less digits than its factorization.

11224266242211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113376426706 (or 113376426703 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 1122426 and 6242211, that added together give a palindrome (7364637).

The spelling of 11224266242211 in words is "eleven trillion, two hundred twenty-four billion, two hundred sixty-six million, two hundred forty-two thousand, two hundred eleven".