124830800 has 60 divisors (see below), whose sum is σ = 309611136. Its totient is φ = 48316800.

The previous prime is 124830793. The next prime is 124830809. The reversal of 124830800 is 8038421.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 124830800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124830809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7367 + ... + 17433.

Almost surely, 2^124830800 is an apocalyptic number.

124830800 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 124830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154805568).

124830800 is an abundant number, since it is smaller than the sum of its proper divisors (184780336).

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

124830800 is a wasteful number, since it uses less digits than its factorization.

124830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 124830800 is about 11172.7704711052. The cubic root of 124830800 is about 499.7742981327.

The spelling of 124830800 in words is "one hundred twenty-four million, eight hundred thirty thousand, eight hundred".