11121666612111 has 144 divisors (see below), whose sum is σ = 18525703656096. Its totient is φ = 6371846400000.

The previous prime is 11121666612083. The next prime is 11121666612149.

11121666612111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11121666612111 - 2¹⁰ = 11121666611087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121666612011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 905593291 + ... + 905605571.

It is an arithmetic number, because the mean of its divisors is an integer number (128650719834).

Almost surely, 2^{11121666612111} is an apocalyptic number.

11121666612111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121666612111 is a deficient number, since it is larger than the sum of its proper divisors (7404037043985).

11121666612111 is a wasteful number, since it uses less digits than its factorization.

11121666612111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12484 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

It can be divided in two parts, 1112166 and 6612111, that added together give a palindrome (7724277).

The spelling of 11121666612111 in words is "eleven trillion, one hundred twenty-one billion, six hundred sixty-six million, six hundred twelve thousand, one hundred eleven".