221302120 has 96 divisors (see below), whose sum is σ = 567885600. Its totient is φ = 77366016.

The previous prime is 221302111. The next prime is 221302163. The reversal of 221302120 is 21203122.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 221302120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127579 + ... + 129301.

It is an arithmetic number, because the mean of its divisors is an integer number (5915475).

Almost surely, 2^221302120 is an apocalyptic number.

221302120 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 221302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283942800).

221302120 is an abundant number, since it is smaller than the sum of its proper divisors (346583480).

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

221302120 is a wasteful number, since it uses less digits than its factorization.

221302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221302120 is about 14876.2266721101. The cubic root of 221302120 is about 604.8697395038.

Adding to 221302120 its reverse (21203122), we get a palindrome (242505242).

The spelling of 221302120 in words is "two hundred twenty-one million, three hundred two thousand, one hundred twenty".