112000011101200 has 120 divisors (see below), whose sum is σ = 275570624136960. Its totient is φ = 43724674252800.

The previous prime is 112000011101119. The next prime is 112000011101207. The reversal of 112000011101200 is 2101110000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112000011101207) 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, 1548081 + ... + 15046480.

It is an arithmetic number, because the mean of its divisors is an integer number (2296421867808).

Almost surely, 2^{112000011101200} is an apocalyptic number.

112000011101200 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 112000011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137785312068480).

112000011101200 is an abundant number, since it is smaller than the sum of its proper divisors (163570613035760).

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

112000011101200 is a wasteful number, since it uses less digits than its factorization.

112000011101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594985 (or 16594974 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112000011101200 its reverse (2101110000211), we get a palindrome (114101121101411).

It can be divided in two parts, 112000011 and 101200, that added together give a palindrome (112101211).

The spelling of 112000011101200 in words is "one hundred twelve trillion, eleven million, one hundred one thousand, two hundred".