200302013003120 has 160 divisors (see below), whose sum is σ = 539781491773440. Its totient is φ = 67700921379840.

The previous prime is 200302013003101. The next prime is 200302013003137. The reversal of 200302013003120 is 21300310203002.

200302013003120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200302013003120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403673894 + ... + 404169786.

It is an arithmetic number, because the mean of its divisors is an integer number (3373634323584).

Almost surely, 2^{200302013003120} is an apocalyptic number.

200302013003120 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 200302013003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269890745886720).

200302013003120 is an abundant number, since it is smaller than the sum of its proper divisors (339479478770320).

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

200302013003120 is a wasteful number, since it uses less digits than its factorization.

200302013003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506143 (or 506137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 200302013003120 its reverse (21300310203002), we get a palindrome (221602323206122).

The spelling of 200302013003120 in words is "two hundred trillion, three hundred two billion, thirteen million, three thousand, one hundred twenty".