124116960 has 144 divisors (see below), whose sum is σ = 429943248. Its totient is φ = 30074880.

The previous prime is 124116929. The next prime is 124116961. The reversal of 124116960 is 69611421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124116961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57012 + ... + 59148.

It is an arithmetic number, because the mean of its divisors is an integer number (2985717).

Almost surely, 2^124116960 is an apocalyptic number.

124116960 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 124116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214971624).

124116960 is an abundant number, since it is smaller than the sum of its proper divisors (305826288).

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

124116960 is a wasteful number, since it uses less digits than its factorization.

124116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 124116960 is about 11140.7791468999. The cubic root of 124116960 is about 498.8198299222.

The spelling of 124116960 in words is "one hundred twenty-four million, one hundred sixteen thousand, nine hundred sixty".