112200211200 has 864 divisors, whose sum is σ = 477754421760. Its totient is φ = 22501785600.

The previous prime is 112200211183. The next prime is 112200211213. The reversal of 112200211200 is 2112002211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42872292 + ... + 42874908.

Almost surely, 2^112200211200 is an apocalyptic number.

112200211200 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 112200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238877210880).

112200211200 is an abundant number, since it is smaller than the sum of its proper divisors (365554210560).

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

112200211200 is a wasteful number, since it uses less digits than its factorization.

112200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112200211200 its reverse (2112002211), we get a palindrome (114312213411).

The spelling of 112200211200 in words is "one hundred twelve billion, two hundred million, two hundred eleven thousand, two hundred".