124130880 has 140 divisors (see below), whose sum is σ = 441647580. Its totient is φ = 33094656.

The previous prime is 124130873. The next prime is 124130887. The reversal of 124130880 is 88031421.

It is an interprime number because it is at equal distance from previous prime (124130873) and next prime (124130887).

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 100160064 = 4896^2 + 10008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (124130887) 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 19 ways as a sum of consecutive naturals, for example, 23526 + ... + 28314.

Almost surely, 2^124130880 is an apocalyptic number.

124130880 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 124130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220823790).

124130880 is an abundant number, since it is smaller than the sum of its proper divisors (317516700).

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

124130880 is an equidigital number, since it uses as much as digits as its factorization.

124130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 124130880 is about 11141.4038612735. The cubic root of 124130880 is about 498.8384771521.

The spelling of 124130880 in words is "one hundred twenty-four million, one hundred thirty thousand, eight hundred eighty".