432133204022120 has 128 divisors (see below), whose sum is σ = 1009143083520000. Its totient is φ = 166343165678592.

The previous prime is 432133204022119. The next prime is 432133204022123. The reversal of 432133204022120 is 21220402331234.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (432133204022123) 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, 748552946 + ... + 749130014.

It is an arithmetic number, because the mean of its divisors is an integer number (7883930340000).

Almost surely, 2^{432133204022120} is an apocalyptic number.

432133204022120 is a gapful number since it is divisible by the number (40) 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 432133204022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504571541760000).

432133204022120 is an abundant number, since it is smaller than the sum of its proper divisors (577009879497880).

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

432133204022120 is a wasteful number, since it uses less digits than its factorization.

432133204022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579235 (or 579231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 432133204022120 its reverse (21220402331234), we get a palindrome (453353606353354).

The spelling of 432133204022120 in words is "four hundred thirty-two trillion, one hundred thirty-three billion, two hundred four million, twenty-two thousand, one hundred twenty".