112000011200112 has 180 divisors, whose sum is σ = 348577584754776. Its totient is φ = 30896554268160.

The previous prime is 112000011200111. The next prime is 112000011200113. The reversal of 112000011200112 is 211002110000211.

It is an interprime number because it is at equal distance from previous prime (112000011200111) and next prime (112000011200113).

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

112000011200112 is a modest number, since divided by 11200112 gives 11200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000011200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26332939 + ... + 30289002.

Almost surely, 2^{112000011200112} is an apocalyptic number.

112000011200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112000011200112 is an abundant number, since it is smaller than the sum of its proper divisors (236577573554664).

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

112000011200112 is a wasteful number, since it uses less digits than its factorization.

112000011200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622024 (or 56621982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112000011200112 its reverse (211002110000211), we get a palindrome (323002121200323).

The spelling of 112000011200112 in words is "one hundred twelve trillion, eleven million, two hundred thousand, one hundred twelve".