112000221200 has 360 divisors, whose sum is σ = 321345983880. Its totient is φ = 37391155200.

The previous prime is 112000221143. The next prime is 112000221241. The reversal of 112000221200 is 2122000211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 91158101776 + 20842119424 = 301924^2 + 144368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135102386 + ... + 135103214.

It is an arithmetic number, because the mean of its divisors is an integer number (892627733).

Almost surely, 2^112000221200 is an apocalyptic number.

112000221200 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 112000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160672991940).

112000221200 is an abundant number, since it is smaller than the sum of its proper divisors (209345762680).

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

112000221200 is a wasteful number, since it uses less digits than its factorization.

112000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112000221200 its reverse (2122000211), we get a palindrome (114122221411).

The spelling of 112000221200 in words is "one hundred twelve billion, two hundred twenty-one thousand, two hundred".