112111001112 has 256 divisors, whose sum is σ = 318004600320. Its totient is φ = 32643072000.

The previous prime is 112111001087. The next prime is 112111001113. The reversal of 112111001112 is 211100111211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111001113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317594728 + ... + 317595080.

It is an arithmetic number, because the mean of its divisors is an integer number (1242205470).

Almost surely, 2^112111001112 is an apocalyptic number.

112111001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159002300160).

112111001112 is an abundant number, since it is smaller than the sum of its proper divisors (205893599208).

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

112111001112 is a wasteful number, since it uses less digits than its factorization.

112111001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112111001112 its reverse (211100111211), we get a palindrome (323211112323).

It can be divided in two parts, 11 and 2111001112, that multiplied together give a palindrome (23221012232).

The spelling of 112111001112 in words is "one hundred twelve billion, one hundred eleven million, one thousand, one hundred twelve".