124105120 has 48 divisors (see below), whose sum is σ = 294545160. Its totient is φ = 49414144.

The previous prime is 124105099. The next prime is 124105139. The reversal of 124105120 is 21501421.

It can be written as a sum of positive squares in 4 ways, for example, as 75272976 + 48832144 = 8676^2 + 6988^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 124105094 and 124105103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35616 + ... + 38944.

Almost surely, 2^124105120 is an apocalyptic number.

124105120 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 124105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147272580).

124105120 is an abundant number, since it is smaller than the sum of its proper divisors (170440040).

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

124105120 is a wasteful number, since it uses less digits than its factorization.

124105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 124105120 is about 11140.2477530798. The cubic root of 124105120 is about 498.8039679626.

Adding to 124105120 its reverse (21501421), we get a palindrome (145606541).

The spelling of 124105120 in words is "one hundred twenty-four million, one hundred five thousand, one hundred twenty".