112122000220200 has 192 divisors, whose sum is σ = 356254882603200. Its totient is φ = 29153634662400.

The previous prime is 112122000220199. The next prime is 112122000220207. The reversal of 112122000220200 is 2022000221211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112122000220200.

It is not an unprimeable number, because it can be changed into a prime (112122000220207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42735559 + ... + 45283241.

It is an arithmetic number, because the mean of its divisors is an integer number (1855494180225).

Almost surely, 2^{112122000220200} is an apocalyptic number.

112122000220200 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 112122000220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178127441301600).

112122000220200 is an abundant number, since it is smaller than the sum of its proper divisors (244132882383000).

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

112122000220200 is a wasteful number, since it uses less digits than its factorization.

112122000220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549532 (or 2549523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112122000220200 its reverse (2022000221211), we get a palindrome (114144000441411).

The spelling of 112122000220200 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred twenty thousand, two hundred".