124124 has 48 divisors (see below), whose sum is σ = 301056. Its totient is φ = 43200.

The previous prime is 124123. The next prime is 124133. The reversal of 124124 is 421421.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 124099 and 124108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3989 + ... + 4019.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

2¹²⁴¹²⁴ is an apocalyptic number.

124124 is a gapful number since it is divisible by the number (14) 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 124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528).

124124 is an abundant number, since it is smaller than the sum of its proper divisors (176932).

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

124124 is a wasteful number, since it uses less digits than its factorization.

124124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 64 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 124124 is about 352.3123614067. The cubic root of 124124 is about 49.8829260879.

Adding to 124124 its reverse (421421), we get a palindrome (545545).

The spelling of 124124 in words is "one hundred twenty-four thousand, one hundred twenty-four", and thus it is an iban number.