112102200221200 has 240 divisors, whose sum is σ = 309053598303744. Its totient is φ = 38278633881600.

The previous prime is 112102200221197. The next prime is 112102200221267. The reversal of 112102200221200 is 2122002201211.

It is a happy number.

112102200221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5560339120 + ... + 5560359280.

Almost surely, 2^{112102200221200} is an apocalyptic number.

112102200221200 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 112102200221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526799151872).

112102200221200 is an abundant number, since it is smaller than the sum of its proper divisors (196951398082544).

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

112102200221200 is a wasteful number, since it uses less digits than its factorization.

112102200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28170 (or 28159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112102200221200 its reverse (2122002201211), we get a palindrome (114224202422411).

The spelling of 112102200221200 in words is "one hundred twelve trillion, one hundred two billion, two hundred million, two hundred twenty-one thousand, two hundred".