123982800 has 60 divisors (see below), whose sum is σ = 397162080. Its totient is φ = 33061760.

The previous prime is 123982787. The next prime is 123982867. The reversal of 123982800 is 8289321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50460 + ... + 52859.

It is an arithmetic number, because the mean of its divisors is an integer number (6619368).

Almost surely, 2^123982800 is an apocalyptic number.

123982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123982800 is an abundant number, since it is smaller than the sum of its proper divisors (273179280).

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

123982800 is a wasteful number, since it uses less digits than its factorization.

123982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103340 (or 103329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 123982800 is about 11134.7563960780. The cubic root of 123982800 is about 498.6400376920.

The spelling of 123982800 in words is "one hundred twenty-three million, nine hundred eighty-two thousand, eight hundred".