112122212212200 has 192 divisors, whose sum is σ = 366506597880000. Its totient is φ = 28276518666240.

The previous prime is 112122212212151. The next prime is 112122212212247. The reversal of 112122212212200 is 2212212221211.

It is a super-2 number, since 2×112122212212200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944975 + ... + 15100574.

It is an arithmetic number, because the mean of its divisors is an integer number (1908888530625).

Almost surely, 2^{112122212212200} is an apocalyptic number.

112122212212200 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 112122212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183253298940000).

112122212212200 is an abundant number, since it is smaller than the sum of its proper divisors (254384385667800).

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

112122212212200 is a wasteful number, since it uses less digits than its factorization.

112122212212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046164 (or 17046155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 112122212212200 its reverse (2212212221211), we get a palindrome (114334424433411).

The spelling of 112122212212200 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred".