200322232113312 has 144 divisors (see below), whose sum is σ = 572451772969440. Its totient is φ = 66447675302400.

The previous prime is 200322232113301. The next prime is 200322232113313. The reversal of 200322232113312 is 213311232223002.

200322232113312 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 2 + 2 + 2 + 321 + 1 + 331 + 2 = 666.

200322232113312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×200322232113312³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200322232113313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411824739 + ... + 412310877.

It is an arithmetic number, because the mean of its divisors is an integer number (3975359534510).

Almost surely, 2^{200322232113312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200322232113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286225886484720).

200322232113312 is an abundant number, since it is smaller than the sum of its proper divisors (372129540856128).

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

200322232113312 is a wasteful number, since it uses less digits than its factorization.

200322232113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493147 (or 493136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 200322232113312 its reverse (213311232223002), we get a palindrome (413633464336314).

The spelling of 200322232113312 in words is "two hundred trillion, three hundred twenty-two billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".