220124224320 has 1792 divisors, whose sum is σ = 993781039104. Its totient is φ = 39813120000.

The previous prime is 220124224247. The next prime is 220124224339. The reversal of 220124224320 is 23422421022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1457776245 + ... + 1457776395.

It is an arithmetic number, because the mean of its divisors is an integer number (554565312).

Almost surely, 2^220124224320 is an apocalyptic number.

220124224320 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 220124224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496890519552).

220124224320 is an abundant number, since it is smaller than the sum of its proper divisors (773656814784).

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

220124224320 is a wasteful number, since it uses less digits than its factorization.

220124224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220124224320 its reverse (23422421022), we get a palindrome (243546645342).

It can be divided in two parts, 220124 and 224320, that added together give a palindrome (444444).

The spelling of 220124224320 in words is "two hundred twenty billion, one hundred twenty-four million, two hundred twenty-four thousand, three hundred twenty".