221332120 has 16 divisors (see below), whose sum is σ = 497997360. Its totient is φ = 88532832.

The previous prime is 221332117. The next prime is 221332123. The reversal of 221332120 is 21233122.

It is an interprime number because it is at equal distance from previous prime (221332117) and next prime (221332123).

It is a junction number, because it is equal to n+sod(n) for n = 221332094 and 221332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332123) 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 3 ways as a sum of consecutive naturals, for example, 2766612 + ... + 2766691.

It is an arithmetic number, because the mean of its divisors is an integer number (31124835).

Almost surely, 2^221332120 is an apocalyptic number.

221332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221332120 is an abundant number, since it is smaller than the sum of its proper divisors (276665240).

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

221332120 is a wasteful number, since it uses less digits than its factorization.

221332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533314 (or 5533310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221332120 is about 14877.2349581500. The cubic root of 221332120 is about 604.8970705754.

Adding to 221332120 its reverse (21233122), we get a palindrome (242565242).

The spelling of 221332120 in words is "two hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".