200224313430120 has 384 divisors, whose sum is σ = 783251551180800. Its totient is φ = 43333601730048.

The previous prime is 200224313430109. The next prime is 200224313430149. The reversal of 200224313430120 is 21034313422002.

200224313430120 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 24 + 313 + 4 + 301 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88272037 + ... + 90511883.

It is an arithmetic number, because the mean of its divisors is an integer number (2039717581200).

Almost surely, 2^{200224313430120} is an apocalyptic number.

200224313430120 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 200224313430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391625775590400).

200224313430120 is an abundant number, since it is smaller than the sum of its proper divisors (583027237750680).

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

200224313430120 is a wasteful number, since it uses less digits than its factorization.

200224313430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241757 (or 2241750 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200224313430120 its reverse (21034313422002), we get a palindrome (221258626852122).

The spelling of 200224313430120 in words is "two hundred trillion, two hundred twenty-four billion, three hundred thirteen million, four hundred thirty thousand, one hundred twenty".