124842240 has 108 divisors (see below), whose sum is σ = 431981004. Its totient is φ = 33288192.

The previous prime is 124842233. The next prime is 124842247. The reversal of 124842240 is 42248421.

It is an interprime number because it is at equal distance from previous prime (124842233) and next prime (124842247).

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 89415936 = 5952^2 + 9456^2 .

It is not an unprimeable number, because it can be changed into a prime (124842247) 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 11 ways as a sum of consecutive naturals, for example, 6102 + ... + 16938.

Almost surely, 2^124842240 is an apocalyptic number.

124842240 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 124842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215990502).

124842240 is an abundant number, since it is smaller than the sum of its proper divisors (307138764).

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

124842240 is a wasteful number, since it uses less digits than its factorization.

124842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 124842240 is about 11173.2824183406. The cubic root of 124842240 is about 499.7895647798.

The spelling of 124842240 in words is "one hundred twenty-four million, eight hundred forty-two thousand, two hundred forty".