124800 has 96 divisors (see below), whose sum is σ = 442680. Its totient is φ = 30720.

The previous prime is 124799. The next prime is 124819. The reversal of 124800 is 8421.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 124800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9594 + ... + 9606.

2¹²⁴⁸⁰⁰ is an apocalyptic number.

124800 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 124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221340).

124800 is an abundant number, since it is smaller than the sum of its proper divisors (317880).

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

124800 is a wasteful number, since it uses less digits than its factorization.

124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 124800 is about 353.2704346531. The cubic root of 124800 is about 49.9733190985.

It can be divided in two parts, 12 and 4800, that multiplied together give a square (57600 = 240²).

The spelling of 124800 in words is "one hundred twenty-four thousand, eight hundred".