123042432 has 64 divisors (see below), whose sum is σ = 331508160. Its totient is φ = 40427520.

The previous prime is 123042397. The next prime is 123042443. The reversal of 123042432 is 234240321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 123042399 and 123042408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25008 + ... + 29520.

It is an arithmetic number, because the mean of its divisors is an integer number (5179815).

Almost surely, 2^123042432 is an apocalyptic number.

123042432 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 123042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165754080).

123042432 is an abundant number, since it is smaller than the sum of its proper divisors (208465728).

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

123042432 is an equidigital number, since it uses as much as digits as its factorization.

123042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 123042432 is about 11092.4493237517. The cubic root of 123042432 is about 497.3761643918.

Adding to 123042432 its reverse (234240321), we get a palindrome (357282753).

The spelling of 123042432 in words is "one hundred twenty-three million, forty-two thousand, four hundred thirty-two".