112111020221200 has 1440 divisors, whose sum is σ = 376609883924736. Its totient is φ = 31188326400000.

The previous prime is 112111020221191. The next prime is 112111020221201. The reversal of 112111020221200 is 2122020111211.

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

It is not an unprimeable number, because it can be changed into a prime (112111020221201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19128306270 + ... + 19128312130.

Almost surely, 2^{112111020221200} is an apocalyptic number.

112111020221200 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 112111020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188304941962368).

112111020221200 is an abundant number, since it is smaller than the sum of its proper divisors (264498863703536).

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

112111020221200 is a wasteful number, since it uses less digits than its factorization.

112111020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112111020221200 its reverse (2122020111211), we get a palindrome (114233040332411).

The spelling of 112111020221200 in words is "one hundred twelve trillion, one hundred eleven billion, twenty million, two hundred twenty-one thousand, two hundred".