123282432 has 352 divisors, whose sum is σ = 458528000. Its totient is φ = 32514048.

The previous prime is 123282427. The next prime is 123282433. The reversal of 123282432 is 234282321.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123282396 and 123282405.

It is not an unprimeable number, because it can be changed into a prime (123282433) 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, 9483258 + ... + 9483270.

Almost surely, 2^123282432 is an apocalyptic number.

123282432 is a gapful number since it is divisible by the number (12) 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 123282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229264000).

123282432 is an abundant number, since it is smaller than the sum of its proper divisors (335245568).

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

123282432 is an equidigital number, since it uses as much as digits as its factorization.

123282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 123282432 is about 11103.2622233288. The cubic root of 123282432 is about 497.6993394924.

The spelling of 123282432 in words is "one hundred twenty-three million, two hundred eighty-two thousand, four hundred thirty-two".