11142211224111 has 32 divisors (see below), whose sum is σ = 16368964634880. Its totient is φ = 6685322112000.

The previous prime is 11142211224107. The next prime is 11142211224119.

11142211224111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11142211224111 - 2² = 11142211224107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142211224119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33976735 + ... + 34303103.

It is an arithmetic number, because the mean of its divisors is an integer number (511530144840).

Almost surely, 2^{11142211224111} is an apocalyptic number.

11142211224111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11142211224111 is a deficient number, since it is larger than the sum of its proper divisors (5226753410769).

11142211224111 is a wasteful number, since it uses less digits than its factorization.

11142211224111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336727.

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 1114221 and 1224111, that added together give a palindrome (2338332).

The spelling of 11142211224111 in words is "eleven trillion, one hundred forty-two billion, two hundred eleven million, two hundred twenty-four thousand, one hundred eleven".