112200323101200 has 180 divisors, whose sum is σ = 391066580257860. Its totient is φ = 29789430543360.

The previous prime is 112200323101193. The next prime is 112200323101219. The reversal of 112200323101200 is 2101323002211.

112200323101200 is a `hidden beast` number, since 1 + 1 + 2 + 200 + 32 + 310 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11344178444544 + 100856144656656 = 3368112^2 + 10042716^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 67225287 + ... + 68874086.

Almost surely, 2^{112200323101200} is an apocalyptic number.

112200323101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200323101200 is an abundant number, since it is smaller than the sum of its proper divisors (278866257156660).

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

112200323101200 is a wasteful number, since it uses less digits than its factorization.

112200323101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136099626 (or 136099612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112200323101200 its reverse (2101323002211), we get a palindrome (114301646103411).

The spelling of 112200323101200 in words is "one hundred twelve trillion, two hundred billion, three hundred twenty-three million, one hundred one thousand, two hundred".