432122232223220 has 576 divisors, whose sum is σ = 1272762438280704. Its totient is φ = 121212071608320.

The previous prime is 432122232223189. The next prime is 432122232223229. The reversal of 432122232223220 is 22322232221234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432122232223229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13728174122 + ... + 13728205598.

It is an arithmetic number, because the mean of its divisors is an integer number (2209657010904).

Almost surely, 2^{432122232223220} 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 432122232223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636381219140352).

432122232223220 is an abundant number, since it is smaller than the sum of its proper divisors (840640206057484).

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

432122232223220 is a wasteful number, since it uses less digits than its factorization.

432122232223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34808 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 432122232223220 its reverse (22322232221234), we get a palindrome (454444464444454).

The spelling of 432122232223220 in words is "four hundred thirty-two trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred twenty".