220521120 has 96 divisors (see below), whose sum is σ = 705112128. Its totient is φ = 57919488.

The previous prime is 220521113. The next prime is 220521121. The reversal of 220521120 is 21125022.

It is a tau number, because it is divible by the number of its divisors (96).

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 220521120.

It is not an unprimeable number, because it can be changed into a prime (220521121) 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 15 ways as a sum of consecutive naturals, for example, 28732 + ... + 35588.

It is an arithmetic number, because the mean of its divisors is an integer number (7344918).

Almost surely, 2^220521120 is an apocalyptic number.

220521120 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 220521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352556064).

220521120 is an abundant number, since it is smaller than the sum of its proper divisors (484591008).

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

220521120 is a wasteful number, since it uses less digits than its factorization.

220521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 220521120 is about 14849.9535352808. The cubic root of 220521120 is about 604.1573497625.

Adding to 220521120 its reverse (21125022), we get a palindrome (241646142).

The spelling of 220521120 in words is "two hundred twenty million, five hundred twenty-one thousand, one hundred twenty".