124238080 has 108 divisors (see below), whose sum is σ = 310542876. Its totient is φ = 47616000.

The previous prime is 124238071. The next prime is 124238087. The reversal of 124238080 is 80832421.

It can be written as a sum of positive squares in 2 ways, for example, as 88811776 + 35426304 = 9424^2 + 5952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124238087) 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 11 ways as a sum of consecutive naturals, for example, 1230030 + ... + 1230130.

It is an arithmetic number, because the mean of its divisors is an integer number (2875397).

Almost surely, 2^124238080 is an apocalyptic number.

124238080 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 124238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155271438).

124238080 is an abundant number, since it is smaller than the sum of its proper divisors (186304796).

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

124238080 is an equidigital number, since it uses as much as digits as its factorization.

124238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 124238080 is about 11146.2137069051. The cubic root of 124238080 is about 498.9820355700.

It can be divided in two parts, 12423 and 8080, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 124238080 in words is "one hundred twenty-four million, two hundred thirty-eight thousand, eighty".