221325120 has 336 divisors, whose sum is σ = 819107328. Its totient is φ = 54743040.

The previous prime is 221325119. The next prime is 221325131. The reversal of 221325120 is 21523122.

221325120 is a `hidden beast` number, since 22 + 132 + 512 + 0 = 666.

221325120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 221325093 and 221325102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3303327 + ... + 3303393.

Almost surely, 2^221325120 is an apocalyptic number.

221325120 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 221325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409553664).

221325120 is an abundant number, since it is smaller than the sum of its proper divisors (597782208).

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

221325120 is a wasteful number, since it uses less digits than its factorization.

221325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221325120 is about 14876.9996975197. Note that the first 3 decimals coincide. The cubic root of 221325120 is about 604.8906935463.

Adding to 221325120 its reverse (21523122), we get a palindrome (242848242).

It can be divided in two parts, 221325 and 120, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 221325120 in words is "two hundred twenty-one million, three hundred twenty-five thousand, one hundred twenty".