11121411412111 has 96 divisors (see below), whose sum is σ = 15400256371200. Its totient is φ = 7957880985600.

The previous prime is 11121411412087. The next prime is 11121411412141.

11121411412111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11121411412111 - 2⁹ = 11121411411599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121411412141) 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 95 ways as a sum of consecutive naturals, for example, 123018756 + ... + 123109126.

It is an arithmetic number, because the mean of its divisors is an integer number (160419337200).

Almost surely, 2^{11121411412111} is an apocalyptic number.

11121411412111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121411412111 is a deficient number, since it is larger than the sum of its proper divisors (4278844959089).

11121411412111 is a wasteful number, since it uses less digits than its factorization.

11121411412111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90622 (or 90595 counting only the distinct ones).

The product of its digits is 64, while the sum is 22.

It can be divided in two parts, 1112141 and 1412111, that added together give a palindrome (2524252).

The spelling of 11121411412111 in words is "eleven trillion, one hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, one hundred eleven".