224434320120 has 96 divisors (see below), whose sum is σ = 730909876320. Its totient is φ = 59726211840.

The previous prime is 224434320113. The next prime is 224434320139. The reversal of 224434320120 is 21023434422.

224434320120 is a `hidden beast` number, since 2 + 2 + 4 + 434 + 3 + 201 + 20 = 666.

224434320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464751 + ... + 815390.

It is an arithmetic number, because the mean of its divisors is an integer number (7613644545).

Almost surely, 2^224434320120 is an apocalyptic number.

224434320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224434320120 is an abundant number, since it is smaller than the sum of its proper divisors (506475556200).

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

224434320120 is a wasteful number, since it uses less digits than its factorization.

224434320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280645 (or 1280638 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224434320120 its reverse (21023434422), we get a palindrome (245457754542).

The spelling of 224434320120 in words is "two hundred twenty-four billion, four hundred thirty-four million, three hundred twenty thousand, one hundred twenty".