11124666642111 has 32 divisors (see below), whose sum is σ = 16657047714048. Its totient is φ = 6544849559040.

The previous prime is 11124666642077. The next prime is 11124666642209.

It is a happy number.

11124666642111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11124666642111 - 2⁴³ = 2328573619903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124666642811) 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, 9992221 + ... + 11049606.

It is an arithmetic number, because the mean of its divisors is an integer number (520532741064).

Almost surely, 2^{11124666642111} is an apocalyptic number.

11124666642111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11124666642111 is a deficient number, since it is larger than the sum of its proper divisors (5532381071937).

11124666642111 is a wasteful number, since it uses less digits than its factorization.

11124666642111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042311.

The product of its digits is 82944, while the sum is 42.

It can be divided in two parts, 1112466 and 6642111, that added together give a palindrome (7754577).

The spelling of 11124666642111 in words is "eleven trillion, one hundred twenty-four billion, six hundred sixty-six million, six hundred forty-two thousand, one hundred eleven".