432125120 has 224 divisors, whose sum is σ = 1248460800. Its totient is φ = 142248960.

The previous prime is 432125107. The next prime is 432125129. The reversal of 432125120 is 21521234.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432125092 and 432125101.

It is not an unprimeable number, because it can be changed into a prime (432125129) 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, 3402497 + ... + 3402623.

Almost surely, 2^432125120 is an apocalyptic number.

432125120 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 432125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624230400).

432125120 is an abundant number, since it is smaller than the sum of its proper divisors (816335680).

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

432125120 is a wasteful number, since it uses less digits than its factorization.

432125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 432125120 is about 20787.6193923210. The cubic root of 432125120 is about 756.0256049855.

Adding to 432125120 its reverse (21521234), we get a palindrome (453646354).

The spelling of 432125120 in words is "four hundred thirty-two million, one hundred twenty-five thousand, one hundred twenty".