112111331200 has 192 divisors, whose sum is σ = 302553313920. Its totient is φ = 40710297600.

The previous prime is 112111331191. The next prime is 112111331203. The reversal of 112111331200 is 2133111211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111331203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31079797 + ... + 31083403.

It is an arithmetic number, because the mean of its divisors is an integer number (1575798510).

Almost surely, 2^112111331200 is an apocalyptic number.

112111331200 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 112111331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151276656960).

112111331200 is an abundant number, since it is smaller than the sum of its proper divisors (190441982720).

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

112111331200 is a wasteful number, since it uses less digits than its factorization.

112111331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 112111331200 its reverse (2133111211), we get a palindrome (114244442411).

The spelling of 112111331200 in words is "one hundred twelve billion, one hundred eleven million, three hundred thirty-one thousand, two hundred".