124128 has 36 divisors (see below), whose sum is σ = 353808. Its totient is φ = 41280.

The previous prime is 124123. The next prime is 124133. The reversal of 124128 is 821421.

It is an interprime number because it is at equal distance from previous prime (124123) and next prime (124133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 124128.

It is a congruent number.

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

124128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹²⁴¹²⁸ is an apocalyptic number.

124128 is a gapful number since it is divisible by the number (18) 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 124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

124128 is an abundant number, since it is smaller than the sum of its proper divisors (229680).

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

124128 is a wasteful number, since it uses less digits than its factorization.

124128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 124128 is about 352.3180381417. The cubic root of 124128 is about 49.8834619219.

Adding to 124128 its reverse (821421), we get a palindrome (945549).

It can be divided in two parts, 124 and 128, that added together give a palindrome (252).

The spelling of 124128 in words is "one hundred twenty-four thousand, one hundred twenty-eight".