112122120220200 has 576 divisors, whose sum is σ = 383241877200000. Its totient is φ = 29372633579520.

The previous prime is 112122120220199. The next prime is 112122120220213. The reversal of 112122120220200 is 2022021221211.

It is a happy number.

112122120220200 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 221 + 20 + 220 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15600681007 + ... + 15600688193.

It is an arithmetic number, because the mean of its divisors is an integer number (665350481250).

Almost surely, 2^{112122120220200} is an apocalyptic number.

112122120220200 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 112122120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191620938600000).

112122120220200 is an abundant number, since it is smaller than the sum of its proper divisors (271119756979800).

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

112122120220200 is a wasteful number, since it uses less digits than its factorization.

112122120220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112122120220200 its reverse (2022021221211), we get a palindrome (114144141441411).

The spelling of 112122120220200 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred".