220003120 has 80 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 81784832.

The previous prime is 220003097. The next prime is 220003127. The reversal of 220003120 is 21300022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220003097 and 220003106.

It is not an unprimeable number, because it can be changed into a prime (220003127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111906 + ... + 113854.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^220003120 is an apocalyptic number.

220003120 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 220003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

220003120 is an abundant number, since it is smaller than the sum of its proper divisors (328399280).

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

220003120 is a wasteful number, since it uses less digits than its factorization.

220003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220003120 is about 14832.5021489970. The cubic root of 220003120 is about 603.6839274314.

Adding to 220003120 its reverse (21300022), we get a palindrome (241303142).

The spelling of 220003120 in words is "two hundred twenty million, three thousand, one hundred twenty".