200334313120 has 96 divisors (see below), whose sum is σ = 501268669776. Its totient is φ = 75399168000.

The previous prime is 200334313031. The next prime is 200334313187. The reversal of 200334313120 is 21313433002.

It can be written as a sum of positive squares in 8 ways, for example, as 167618185744 + 32716127376 = 409412^2 + 180876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200334313091 and 200334313100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12833320 + ... + 12848920.

Almost surely, 2^200334313120 is an apocalyptic number.

200334313120 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 200334313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250634334888).

200334313120 is an abundant number, since it is smaller than the sum of its proper divisors (300934356656).

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

200334313120 is a wasteful number, since it uses less digits than its factorization.

200334313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20346 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 200334313120 its reverse (21313433002), we get a palindrome (221647746122).

The spelling of 200334313120 in words is "two hundred billion, three hundred thirty-four million, three hundred thirteen thousand, one hundred twenty".