112311221200 has 60 divisors (see below), whose sum is σ = 270143384940. Its totient is φ = 44871930880.

The previous prime is 112311221153. The next prime is 112311221201. The reversal of 112311221200 is 2122113211.

It can be written as a sum of positive squares in 6 ways, for example, as 3125824 + 112308095376 = 1768^2 + 335124^2 .

It is a super-2 number, since 2×112311221200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178986 + ... + 506614.

It is an arithmetic number, because the mean of its divisors is an integer number (4502389749).

Almost surely, 2^112311221200 is an apocalyptic number.

112311221200 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 112311221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135071692470).

112311221200 is an abundant number, since it is smaller than the sum of its proper divisors (157832163740).

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

112311221200 is a wasteful number, since it uses less digits than its factorization.

112311221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328504 (or 328493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 112311221200 its reverse (2122113211), we get a palindrome (114433334411).

The spelling of 112311221200 in words is "one hundred twelve billion, three hundred eleven million, two hundred twenty-one thousand, two hundred".