221601120 has 192 divisors, whose sum is σ = 796340160. Its totient is φ = 51314688.

The previous prime is 221601097. The next prime is 221601131. The reversal of 221601120 is 21106122.

221601120 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221601120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105036 + ... + 107124.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^221601120 is an apocalyptic number.

221601120 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 221601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398170080).

221601120 is an abundant number, since it is smaller than the sum of its proper divisors (574739040).

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

221601120 is a wasteful number, since it uses less digits than its factorization.

221601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 221601120 is about 14886.2728713402. The cubic root of 221601120 is about 605.1420289002.

Adding to 221601120 its reverse (21106122), we get a palindrome (242707242).

The spelling of 221601120 in words is "two hundred twenty-one million, six hundred one thousand, one hundred twenty".