11111111111112 has 64 divisors (see below), whose sum is σ = 27845764735680. Its totient is φ = 3694642977792.

The previous prime is 11111111111053. The next prime is 11111111111123. The reversal of 11111111111112 is 21111111111111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11111111111091 and 11111111111100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42898348 + ... + 43156580.

It is an arithmetic number, because the mean of its divisors is an integer number (435090073995).

Almost surely, 2^{11111111111112} is an apocalyptic number.

11111111111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111111111112 is an abundant number, since it is smaller than the sum of its proper divisors (16734653624568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111111111112 is a wasteful number, since it uses less digits than its factorization.

11111111111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262622 (or 262618 counting only the distinct ones).

The product of its digits is 2, while the sum is 15.

Adding to 11111111111112 its reverse (21111111111111), we get a palindrome (32222222222223).

Subtracting 11111111111112 from its reverse (21111111111111), we obtain a palindrome (9999999999999).

It can be divided in two parts, 1111111111111 and 2, that multiplied together give a palindrome (2222222222222).

The spelling of 11111111111112 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".