124605120 has 224 divisors, whose sum is σ = 421355520. Its totient is φ = 31150080.

The previous prime is 124605119. The next prime is 124605137. The reversal of 124605120 is 21506421.

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 31 ways as a sum of consecutive naturals, for example, 1577241 + ... + 1577319.

Almost surely, 2^124605120 is an apocalyptic number.

124605120 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 124605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

124605120 is an abundant number, since it is smaller than the sum of its proper divisors (296750400).

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

124605120 is a wasteful number, since it uses less digits than its factorization.

124605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 124605120 is about 11162.6663481446. Note that the first 3 decimals coincide. The cubic root of 124605120 is about 499.4729379397.

The spelling of 124605120 in words is "one hundred twenty-four million, six hundred five thousand, one hundred twenty".