124884000 has 144 divisors (see below), whose sum is σ = 443341080. Its totient is φ = 33292800.

The previous prime is 124883971. The next prime is 124884007. The reversal of 124884000 is 488421.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 116380944 = 2916^2 + 10788^2 .

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

It is a super-3 number, since 3×124884000³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (124884007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34266 + ... + 37734.

Almost surely, 2^124884000 is an apocalyptic number.

124884000 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 124884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221670540).

124884000 is an abundant number, since it is smaller than the sum of its proper divisors (318457080).

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

124884000 is a wasteful number, since it uses less digits than its factorization.

124884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3479 counting only the distinct ones).

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

The square root of 124884000 is about 11175.1510056912. The cubic root of 124884000 is about 499.8452854651.

The spelling of 124884000 in words is "one hundred twenty-four million, eight hundred eighty-four thousand".