112200123200 has 168 divisors, whose sum is σ = 302766764544. Its totient is φ = 40585216000.

The previous prime is 112200123143. The next prime is 112200123223. The reversal of 112200123200 is 2321002211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3344912 + ... + 3378288.

Almost surely, 2^112200123200 is an apocalyptic number.

112200123200 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 112200123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151383382272).

112200123200 is an abundant number, since it is smaller than the sum of its proper divisors (190566641344).

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

112200123200 is a wasteful number, since it uses less digits than its factorization.

112200123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33601 (or 33586 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112200123200 its reverse (2321002211), we get a palindrome (114521125411).

The spelling of 112200123200 in words is "one hundred twelve billion, two hundred million, one hundred twenty-three thousand, two hundred".