112221021200 has 60 divisors (see below), whose sum is σ = 269927897988. Its totient is φ = 44835648000.

The previous prime is 112221021193. The next prime is 112221021257. The reversal of 112221021200 is 2120122211.

It can be written as a sum of positive squares in 6 ways, for example, as 57170722816 + 55050298384 = 239104^2 + 234628^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176750 + ... + 505650.

Almost surely, 2^112221021200 is an apocalyptic number.

112221021200 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 112221021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134963948994).

112221021200 is an abundant number, since it is smaller than the sum of its proper divisors (157706876788).

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

112221021200 is a wasteful number, since it uses less digits than its factorization.

112221021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329772 (or 329761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112221021200 its reverse (2120122211), we get a palindrome (114341143411).

The spelling of 112221021200 in words is "one hundred twelve billion, two hundred twenty-one million, twenty-one thousand, two hundred".