124416960 has 224 divisors, whose sum is σ = 422452800. Its totient is φ = 30965760.

The previous prime is 124416907. The next prime is 124416979. The reversal of 124416960 is 69614421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141386 + ... + 1141494.

It is an arithmetic number, because the mean of its divisors is an integer number (1885950).

Almost surely, 2^124416960 is an apocalyptic number.

124416960 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 124416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211226400).

124416960 is an abundant number, since it is smaller than the sum of its proper divisors (298035840).

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

124416960 is a wasteful number, since it uses less digits than its factorization.

124416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 124416960 is about 11154.2350701426. The cubic root of 124416960 is about 499.2214015315.

The spelling of 124416960 in words is "one hundred twenty-four million, four hundred sixteen thousand, nine hundred sixty".