11224311342211 has 16 divisors (see below), whose sum is σ = 12508653173760. Its totient is φ = 9984977140320.

The previous prime is 11224311342121. The next prime is 11224311342269.

11224311342211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11224311342211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11224311342211.

It is not an unprimeable number, because it can be changed into a prime (11224311340211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25178355 + ... + 25620268.

It is an arithmetic number, because the mean of its divisors is an integer number (781790823360).

Almost surely, 2^{11224311342211} is an apocalyptic number.

11224311342211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11224311342211 is a deficient number, since it is larger than the sum of its proper divisors (1284341831549).

11224311342211 is a wasteful number, since it uses less digits than its factorization.

11224311342211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50799066.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1122431 and 1342211, that added together give a palindrome (2464642).

The spelling of 11224311342211 in words is "eleven trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, two hundred eleven".