220432120 has 48 divisors (see below), whose sum is σ = 502898760. Its totient is φ = 86958144.

The previous prime is 220432109. The next prime is 220432123. The reversal of 220432120 is 21234022.

220432120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220432094 and 220432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220432123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249199 + ... + 250081.

Almost surely, 2^220432120 is an apocalyptic number.

220432120 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 220432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251449380).

220432120 is an abundant number, since it is smaller than the sum of its proper divisors (282466640).

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

220432120 is an equidigital number, since it uses as much as digits as its factorization.

220432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220432120 is about 14846.9565904936. The cubic root of 220432120 is about 604.0760616461.

Adding to 220432120 its reverse (21234022), we get a palindrome (241666142).

The spelling of 220432120 in words is "two hundred twenty million, four hundred thirty-two thousand, one hundred twenty".