11001100011111 has 48 divisors (see below), whose sum is σ = 18282445209600. Its totient is φ = 6244154438400.

The previous prime is 11001100011107. The next prime is 11001100011133. The reversal of 11001100011111 is 11111000110011.

It is not a de Polignac number, because 11001100011111 - 2² = 11001100011107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11001100011093 and 11001100011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100016111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121711711 + ... + 121802063.

It is an arithmetic number, because the mean of its divisors is an integer number (380884275200).

Almost surely, 2^{11001100011111} is an apocalyptic number.

11001100011111 is a deficient number, since it is larger than the sum of its proper divisors (7281345198489).

11001100011111 is a wasteful number, since it uses less digits than its factorization.

11001100011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103316 (or 103313 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001100011111 its reverse (11111000110011), we get a palindrome (22112100121122).

The spelling of 11001100011111 in words is "eleven trillion, one billion, one hundred million, eleven thousand, one hundred eleven".