124032 has 64 divisors (see below), whose sum is σ = 367200. Its totient is φ = 36864.

The previous prime is 124021. The next prime is 124067. The reversal of 124032 is 230421.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 123999 and 124017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 124032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6519 + ... + 6537.

2¹²⁴⁰³² is an apocalyptic number.

124032 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 124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

124032 is an abundant number, since it is smaller than the sum of its proper divisors (243168).

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

124032 is a wasteful number, since it uses less digits than its factorization.

124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 124032 is about 352.1817712489. The cubic root of 124032 is about 49.8705987285.

Adding to 124032 its reverse (230421), we get a palindrome (354453).

It can be divided in two parts, 12 and 4032, that multiplied together give a palindrome (48384).

The spelling of 124032 in words is "one hundred twenty-four thousand, thirty-two".