224001313120 has 96 divisors (see below), whose sum is σ = 570053816640. Its totient is φ = 82687457280.

The previous prime is 224001313087. The next prime is 224001313139. The reversal of 224001313120 is 21313100422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10120626 + ... + 10142734.

It is an arithmetic number, because the mean of its divisors is an integer number (5938060590).

Almost surely, 2^224001313120 is an apocalyptic number.

224001313120 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 224001313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285026908320).

224001313120 is an abundant number, since it is smaller than the sum of its proper divisors (346052503520).

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

224001313120 is a wasteful number, since it uses less digits than its factorization.

224001313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27008 (or 27000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 224001313120 its reverse (21313100422), we get a palindrome (245314413542).

The spelling of 224001313120 in words is "two hundred twenty-four billion, one million, three hundred thirteen thousand, one hundred twenty".