112022300032200 has 288 divisors, whose sum is σ = 388837044134760. Its totient is φ = 28880113766400.

The previous prime is 112022300032169. The next prime is 112022300032231. The reversal of 112022300032200 is 2230003220211.

112022300032200 is a `hidden beast` number, since 1 + 1 + 20 + 22 + 300 + 0 + 322 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112022300032169) and next prime (112022300032231).

It can be written as a sum of positive squares in 12 ways, for example, as 13386773534436 + 98635526497764 = 3658794^2 + 9931542^2 .

It is a super-2 number, since 2×112022300032200² (a number of 29 digits) contains 22 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5099460 + ... + 15812940.

Almost surely, 2^{112022300032200} is an apocalyptic number.

112022300032200 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 112022300032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194418522067380).

112022300032200 is an abundant number, since it is smaller than the sum of its proper divisors (276814744102560).

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

112022300032200 is a wasteful number, since it uses less digits than its factorization.

112022300032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713697 (or 10713685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112022300032200 its reverse (2230003220211), we get a palindrome (114252303252411).

The spelling of 112022300032200 in words is "one hundred twelve trillion, twenty-two billion, three hundred million, thirty-two thousand, two hundred".