11226111162211 has 8 divisors (see below), whose sum is σ = 12290249169648. Its totient is φ = 10169236896000.

The previous prime is 11226111162173. The next prime is 11226111162239.

11226111162211 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11226111162211 - 2¹³ = 11226111154019 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 11226111162211.

It is not an unprimeable number, because it can be changed into a prime (11226111162241) 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 7 ways as a sum of consecutive naturals, for example, 1815932070 + ... + 1815938251.

It is an arithmetic number, because the mean of its divisors is an integer number (1536281146206).

Almost surely, 2^{11226111162211} is an apocalyptic number.

11226111162211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11226111162211 is a deficient number, since it is larger than the sum of its proper divisors (1064138007437).

11226111162211 is a wasteful number, since it uses less digits than its factorization.

11226111162211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631870613.

The product of its digits is 576, while the sum is 28.

It can be divided in two parts, 1122611 and 1162211, that added together give a palindrome (2284822).

The spelling of 11226111162211 in words is "eleven trillion, two hundred twenty-six billion, one hundred eleven million, one hundred sixty-two thousand, two hundred eleven".