124318880 has 144 divisors (see below), whose sum is σ = 347235336. Its totient is φ = 41932800.

The previous prime is 124318877. The next prime is 124318889. The reversal of 124318880 is 88813421.

It can be written as a sum of positive squares in 4 ways, for example, as 115004176 + 9314704 = 10724^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 124318880.

It is not an unprimeable number, because it can be changed into a prime (124318889) by changing a digit.

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, 791762 + ... + 791918.

Almost surely, 2^124318880 is an apocalyptic number.

124318880 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 124318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173617668).

124318880 is an abundant number, since it is smaller than the sum of its proper divisors (222916456).

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

124318880 is a wasteful number, since it uses less digits than its factorization.

124318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 124318880 is about 11149.8376669797. The cubic root of 124318880 is about 499.0901854792.

The spelling of 124318880 in words is "one hundred twenty-four million, three hundred eighteen thousand, eight hundred eighty".