112110101201200 has 120 divisors (see below), whose sum is σ = 274560320608560. Its totient is φ = 43979255577600.

The previous prime is 112110101201129. The next prime is 112110101201201. The reversal of 112110101201200 is 2102101011211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112110101201201) 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, 4293762 + ... + 15577438.

It is an arithmetic number, because the mean of its divisors is an integer number (2288002671738).

Almost surely, 2^{112110101201200} is an apocalyptic number.

112110101201200 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 112110101201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137280160304280).

112110101201200 is an abundant number, since it is smaller than the sum of its proper divisors (162450219407360).

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

112110101201200 is a wasteful number, since it uses less digits than its factorization.

112110101201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284175 (or 11284164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112110101201200 its reverse (2102101011211), we get a palindrome (114212202212411).

The spelling of 112110101201200 in words is "one hundred twelve trillion, one hundred ten billion, one hundred one million, two hundred one thousand, two hundred".