124004000 has 96 divisors (see below), whose sum is σ = 315478800. Its totient is φ = 47846400.

The previous prime is 124003993. The next prime is 124004003. The reversal of 124004000 is 400421.

It can be written as a sum of positive squares in 8 ways, for example, as 3794704 + 120209296 = 1948^2 + 10964^2 .

It is not an unprimeable number, because it can be changed into a prime (124004003) 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 15 ways as a sum of consecutive naturals, for example, 115466 + ... + 116534.

Almost surely, 2^124004000 is an apocalyptic number.

124004000 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 124004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157739400).

124004000 is an abundant number, since it is smaller than the sum of its proper divisors (191474800).

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

124004000 is a wasteful number, since it uses less digits than its factorization.

124004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 124004000 is about 11135.7083295137. The cubic root of 124004000 is about 498.6684571350.

Adding to 124004000 its reverse (400421), we get a palindrome (124404421).

The spelling of 124004000 in words is "one hundred twenty-four million, four thousand".