124873920 has 224 divisors, whose sum is σ = 448056000. Its totient is φ = 32735232.

The previous prime is 124873907. The next prime is 124873933. The reversal of 124873920 is 29378421.

It is an interprime number because it is at equal distance from previous prime (124873907) and next prime (124873933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 838006 + ... + 838154.

It is an arithmetic number, because the mean of its divisors is an integer number (2000250).

Almost surely, 2^124873920 is an apocalyptic number.

124873920 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 124873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224028000).

124873920 is an abundant number, since it is smaller than the sum of its proper divisors (323182080).

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

124873920 is a wasteful number, since it uses less digits than its factorization.

124873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 124873920 is about 11174.6999959730. The cubic root of 124873920 is about 499.8318367819.

The spelling of 124873920 in words is "one hundred twenty-four million, eight hundred seventy-three thousand, nine hundred twenty".