220003313120 has 144 divisors (see below), whose sum is σ = 575303374800. Its totient is φ = 79223181312.

The previous prime is 220003313107. The next prime is 220003313129. The reversal of 220003313120 is 21313300022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220003313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362431 + ... + 1515329.

It is an arithmetic number, because the mean of its divisors is an integer number (3995162325).

Almost surely, 2^220003313120 is an apocalyptic number.

220003313120 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 220003313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287651687400).

220003313120 is an abundant number, since it is smaller than the sum of its proper divisors (355300061680).

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

220003313120 is a wasteful number, since it uses less digits than its factorization.

220003313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152977 (or 152946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 220003313120 its reverse (21313300022), we get a palindrome (241316613142).

The spelling of 220003313120 in words is "two hundred twenty billion, three million, three hundred thirteen thousand, one hundred twenty".