200313122231120 has 160 divisors (see below), whose sum is σ = 480071477030400. Its totient is φ = 77694978816000.

The previous prime is 200313122231111. The next prime is 200313122231143. The reversal of 200313122231120 is 21132221313002.

200313122231120 is digitally balanced in base 3, 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6299336981 + ... + 6299368779.

It is an arithmetic number, because the mean of its divisors is an integer number (3000446731440).

Almost surely, 2^{200313122231120} is an apocalyptic number.

200313122231120 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 200313122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240035738515200).

200313122231120 is an abundant number, since it is smaller than the sum of its proper divisors (279758354799280).

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

200313122231120 is a wasteful number, since it uses less digits than its factorization.

200313122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50125 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 200313122231120 its reverse (21132221313002), we get a palindrome (221445343544122).

The spelling of 200313122231120 in words is "two hundred trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".