221300112 has 80 divisors (see below), whose sum is σ = 650815488. Its totient is φ = 64141440.

The previous prime is 221300063. The next prime is 221300137. The reversal of 221300112 is 211003122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033 + ... + 21255.

Almost surely, 2^221300112 is an apocalyptic number.

221300112 is a gapful number since it is divisible by the number (22) 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 221300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325407744).

221300112 is an abundant number, since it is smaller than the sum of its proper divisors (429515376).

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

221300112 is a wasteful number, since it uses less digits than its factorization.

221300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18268 (or 18262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221300112 is about 14876.1591817243. The cubic root of 221300112 is about 604.8679100559.

Adding to 221300112 its reverse (211003122), we get a palindrome (432303234).

The spelling of 221300112 in words is "two hundred twenty-one million, three hundred thousand, one hundred twelve".