221244120 has 96 divisors (see below), whose sum is σ = 761361120. Its totient is φ = 55526400.

The previous prime is 221244097. The next prime is 221244173. The reversal of 221244120 is 21442122.

221244120 is a `hidden beast` number, since 221 + 2 + 441 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221244093 and 221244102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11956 + ... + 24195.

It is an arithmetic number, because the mean of its divisors is an integer number (7930845).

Almost surely, 2^221244120 is an apocalyptic number.

221244120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221244120 is an abundant number, since it is smaller than the sum of its proper divisors (540117000).

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

221244120 is a wasteful number, since it uses less digits than its factorization.

221244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36185 (or 36178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221244120 is about 14874.2771252925. The cubic root of 221244120 is about 604.8168924273.

Adding to 221244120 its reverse (21442122), we get a palindrome (242686242).

It can be divided in two parts, 22124 and 4120, that added together give a square (26244 = 162²).

The spelling of 221244120 in words is "two hundred twenty-one million, two hundred forty-four thousand, one hundred twenty".