123432000 has 224 divisors, whose sum is σ = 421599360. Its totient is φ = 31795200.

The previous prime is 123431981. The next prime is 123432013. The reversal of 123432000 is 234321.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 887931 + ... + 888069.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^123432000 is an apocalyptic number.

123432000 is a gapful number since it is divisible by the number (10) 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 123432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

123432000 is an abundant number, since it is smaller than the sum of its proper divisors (298167360).

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

123432000 is a wasteful number, since it uses less digits than its factorization.

123432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 123432000 is about 11109.9954995490. The cubic root of 123432000 is about 497.9005301245.

Adding to 123432000 its reverse (234321), we get a palindrome (123666321).

The spelling of 123432000 in words is "one hundred twenty-three million, four hundred thirty-two thousand".