221303120 has 80 divisors (see below), whose sum is σ = 529318800. Its totient is φ = 86016000.

The previous prime is 221303111. The next prime is 221303123. The reversal of 221303120 is 21303122.

It is a happy number.

221303120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 126736 + 221176384 = 356^2 + 14872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221303095 and 221303104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303123) by changing a digit.

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, 492656 + ... + 493104.

It is an arithmetic number, because the mean of its divisors is an integer number (6616485).

Almost surely, 2^221303120 is an apocalyptic number.

221303120 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 221303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264659400).

221303120 is an abundant number, since it is smaller than the sum of its proper divisors (308015680).

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

221303120 is a wasteful number, since it uses less digits than its factorization.

221303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221303120 is about 14876.2602827458. The cubic root of 221303120 is about 604.8706505793.

Adding to 221303120 its reverse (21303122), we get a palindrome (242606242).

The spelling of 221303120 in words is "two hundred twenty-one million, three hundred three thousand, one hundred twenty".