221310120 has 64 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 58924800.

The previous prime is 221310109. The next prime is 221310127. The reversal of 221310120 is 21013122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221310096 and 221310105.

It is not an unprimeable number, because it can be changed into a prime (221310127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117990 + ... + 119850.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^221310120 is an apocalyptic number.

221310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221310120 is an abundant number, since it is smaller than the sum of its proper divisors (443647320).

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

221310120 is a wasteful number, since it uses less digits than its factorization.

221310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2862 counting only the distinct ones).

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

The square root of 221310120 is about 14876.4955550694. The cubic root of 221310120 is about 604.8770280311.

Adding to 221310120 its reverse (21013122), we get a palindrome (242323242).

The spelling of 221310120 in words is "two hundred twenty-one million, three hundred ten thousand, one hundred twenty".