201112432442320 has 640 divisors, whose sum is σ = 578201164185600. Its totient is φ = 63540322560000.

The previous prime is 201112432442303. The next prime is 201112432442323. The reversal of 201112432442320 is 23244234211102.

201112432442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112432442323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103081717345 + ... + 103081719295.

It is an arithmetic number, because the mean of its divisors is an integer number (903439319040).

Almost surely, 2^{201112432442320} is an apocalyptic number.

201112432442320 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 201112432442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289100582092800).

201112432442320 is an abundant number, since it is smaller than the sum of its proper divisors (377088731743280).

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

201112432442320 is a wasteful number, since it uses less digits than its factorization.

201112432442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 201112432442320 its reverse (23244234211102), we get a palindrome (224356666653422).

The spelling of 201112432442320 in words is "two hundred one trillion, one hundred twelve billion, four hundred thirty-two million, four hundred forty-two thousand, three hundred twenty".