112110211000200 has 576 divisors, whose sum is σ = 411328016179200. Its totient is φ = 25179065049600.

The previous prime is 112110211000111. The next prime is 112110211000231. The reversal of 112110211000200 is 2000112011211.

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 143 ways as a sum of consecutive naturals, for example, 4008646617 + ... + 4008674583.

It is an arithmetic number, because the mean of its divisors is an integer number (714111139200).

Almost surely, 2^{112110211000200} is an apocalyptic number.

112110211000200 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 112110211000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205664008089600).

112110211000200 is an abundant number, since it is smaller than the sum of its proper divisors (299217805179000).

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

112110211000200 is a wasteful number, since it uses less digits than its factorization.

112110211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370 (or 30354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112110211000200 its reverse (2000112011211), we get a palindrome (114110323011411).

It can be divided in two parts, 11211021 and 1000200, that added together give a palindrome (12211221).

The spelling of 112110211000200 in words is "one hundred twelve trillion, one hundred ten billion, two hundred eleven million, two hundred", and thus it is an aban number.