112112120320200 has 1536 divisors, whose sum is σ = 520775668224000. Its totient is φ = 21409057382400.

The previous prime is 112112120320111. The next prime is 112112120320237. The reversal of 112112120320200 is 2023021211211.

112112120320200 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 121 + 20 + 320 + 200 = 666.

It is a super-3 number, since 3×112112120320200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1226980116 + ... + 1227071484.

It is an arithmetic number, because the mean of its divisors is an integer number (339046659000).

Almost surely, 2^{112112120320200} is an apocalyptic number.

112112120320200 is a gapful number since it is divisible by the number (10) 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 112112120320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260387834112000).

112112120320200 is an abundant number, since it is smaller than the sum of its proper divisors (408663547903800).

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

112112120320200 is a wasteful number, since it uses less digits than its factorization.

112112120320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91652 (or 91637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112112120320200 its reverse (2023021211211), we get a palindrome (114135141531411).

The spelling of 112112120320200 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, three hundred twenty thousand, two hundred".