112111112120111 has 24 divisors (see below), whose sum is σ = 128259946715040. Its totient is φ = 97395846538752.

The previous prime is 112111112120071. The next prime is 112111112120131. The reversal of 112111112120111 is 111021211111211.

It is a happy number.

It is not a de Polignac number, because 112111112120111 - 2²² = 112111107925807 is a prime.

It is a super-2 number, since 2×112111112120111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112111112120111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111112120131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96529925 + ... + 97684433.

It is an arithmetic number, because the mean of its divisors is an integer number (5344164446460).

Almost surely, 2^{112111112120111} is an apocalyptic number.

112111112120111 is a deficient number, since it is larger than the sum of its proper divisors (16148834594929).

112111112120111 is a wasteful number, since it uses less digits than its factorization.

112111112120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180403 (or 1180386 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 112111112120111 its reverse (111021211111211), we get a palindrome (223132323231322).

The spelling of 112111112120111 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred eleven".