112221133200 has 720 divisors, whose sum is σ = 439702428672. Its totient is φ = 26265600000.

The previous prime is 112221133177. The next prime is 112221133207. The reversal of 112221133200 is 2331122211.

112221133200 is a `hidden beast` number, since 1 + 122 + 211 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (112221133207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279853000 + ... + 279853400.

Almost surely, 2^112221133200 is an apocalyptic number.

112221133200 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 112221133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219851214336).

112221133200 is an abundant number, since it is smaller than the sum of its proper divisors (327481295472).

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

112221133200 is a wasteful number, since it uses less digits than its factorization.

112221133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112221133200 its reverse (2331122211), we get a palindrome (114552255411).

The spelling of 112221133200 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred".