224430523404120 has 1024 divisors, whose sum is σ = 875540150784000. Its totient is φ = 51162805370880.

The previous prime is 224430523404077. The next prime is 224430523404211. The reversal of 224430523404120 is 21404325034422.

224430523404120 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 3 + 0 + 5 + 234 + 0 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21315459016 + ... + 21315469544.

It is an arithmetic number, because the mean of its divisors is an integer number (855019678500).

Almost surely, 2^{224430523404120} is an apocalyptic number.

224430523404120 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 224430523404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437770075392000).

224430523404120 is an abundant number, since it is smaller than the sum of its proper divisors (651109627379880).

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

224430523404120 is a wasteful number, since it uses less digits than its factorization.

224430523404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 224430523404120 its reverse (21404325034422), we get a palindrome (245834848438542).

The spelling of 224430523404120 in words is "two hundred twenty-four trillion, four hundred thirty billion, five hundred twenty-three million, four hundred four thousand, one hundred twenty".