112221333000 has 768 divisors, whose sum is σ = 459868631040. Its totient is φ = 24136704000.

The previous prime is 112221332939. The next prime is 112221333001. The reversal of 112221333000 is 333122211.

112221333000 is a `hidden beast` number, since 1 + 122 + 213 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112221333001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72260224 + ... + 72261776.

It is an arithmetic number, because the mean of its divisors is an integer number (598787280).

Almost surely, 2^112221333000 is an apocalyptic number.

112221333000 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 112221333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229934315520).

112221333000 is an abundant number, since it is smaller than the sum of its proper divisors (347647298040).

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

112221333000 is a wasteful number, since it uses less digits than its factorization.

112221333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112221333000 its reverse (333122211), we get a palindrome (112554455211).

The spelling of 112221333000 in words is "one hundred twelve billion, two hundred twenty-one million, three hundred thirty-three thousand".