224209035120 has 320 divisors, whose sum is σ = 820781752320. Its totient is φ = 49545216000.

The previous prime is 224209035119. The next prime is 224209035221. The reversal of 224209035120 is 21530902422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83378736 + ... + 83381424.

It is an arithmetic number, because the mean of its divisors is an integer number (2564942976).

Almost surely, 2^224209035120 is an apocalyptic number.

224209035120 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 224209035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410390876160).

224209035120 is an abundant number, since it is smaller than the sum of its proper divisors (596572717200).

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

224209035120 is a wasteful number, since it uses less digits than its factorization.

224209035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 224209035120 its reverse (21530902422), we get a palindrome (245739937542).

The spelling of 224209035120 in words is "two hundred twenty-four billion, two hundred nine million, thirty-five thousand, one hundred twenty".