201112321332032 has 224 divisors, whose sum is σ = 449064912384000. Its totient is φ = 88580755261440.

The previous prime is 201112321332029. The next prime is 201112321332037. The reversal of 201112321332032 is 230233123211102.

It is a junction number, because it is equal to n+sod(n) for n = 201112321331992 and 201112321332010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112321332037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356236069 + ... + 1356384347.

Almost surely, 2^{201112321332032} is an apocalyptic number.

201112321332032 is a gapful number since it is divisible by the number (22) 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 201112321332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224532456192000).

201112321332032 is an abundant number, since it is smaller than the sum of its proper divisors (247952591051968).

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

201112321332032 is a wasteful number, since it uses less digits than its factorization.

201112321332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148757 (or 148747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 201112321332032 its reverse (230233123211102), we get a palindrome (431345444543134).

The spelling of 201112321332032 in words is "two hundred one trillion, one hundred twelve billion, three hundred twenty-one million, three hundred thirty-two thousand, thirty-two".