124048800 has 144 divisors (see below), whose sum is σ = 448721280. Its totient is φ = 33073920.

The previous prime is 124048787. The next prime is 124048811. The reversal of 124048800 is 8840421.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 18729 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (3116120).

Almost surely, 2^124048800 is an apocalyptic number.

124048800 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 124048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224360640).

124048800 is an abundant number, since it is smaller than the sum of its proper divisors (324672480).

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

124048800 is a wasteful number, since it uses less digits than its factorization.

124048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 124048800 is about 11137.7196948029. The cubic root of 124048800 is about 498.7285026632.

The spelling of 124048800 in words is "one hundred twenty-four million, forty-eight thousand, eight hundred".