432122333112 has 256 divisors, whose sum is σ = 1271511859200. Its totient is φ = 135796953600.

The previous prime is 432122333101. The next prime is 432122333113. The reversal of 432122333112 is 211333221234.

432122333112 is a `hidden beast` number, since 4 + 3 + 212 + 2 + 333 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432122333113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43639362 + ... + 43649262.

It is an arithmetic number, because the mean of its divisors is an integer number (4966843200).

Almost surely, 2^432122333112 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 432122333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635755929600).

432122333112 is an abundant number, since it is smaller than the sum of its proper divisors (839389526088).

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

432122333112 is a wasteful number, since it uses less digits than its factorization.

432122333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123 (or 10113 counting only the distinct ones).

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

Adding to 432122333112 its reverse (211333221234), we get a palindrome (643455554346).

The spelling of 432122333112 in words is "four hundred thirty-two billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twelve".