221113312200 has 288 divisors, whose sum is σ = 814205208960. Its totient is φ = 53330188800.

The previous prime is 221113312183. The next prime is 221113312223. The reversal of 221113312200 is 2213311122.

221113312200 is a `hidden beast` number, since 2 + 2 + 111 + 331 + 220 + 0 = 666.

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

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, 3872257 + ... + 3928943.

It is an arithmetic number, because the mean of its divisors is an integer number (2827101420).

Almost surely, 2^221113312200 is an apocalyptic number.

221113312200 is a gapful number since it is divisible by the number (20) 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 221113312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407102604480).

221113312200 is an abundant number, since it is smaller than the sum of its proper divisors (593091896760).

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

221113312200 is a wasteful number, since it uses less digits than its factorization.

221113312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56917 (or 56905 counting only the distinct ones).

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

Adding to 221113312200 its reverse (2213311122), we get a palindrome (223326623322).

The spelling of 221113312200 in words is "two hundred twenty-one billion, one hundred thirteen million, three hundred twelve thousand, two hundred".