123820800 has 108 divisors (see below), whose sum is σ = 408697800. Its totient is φ = 33013760.

The previous prime is 123820769. The next prime is 123820841. The reversal of 123820800 is 8028321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 15976 + ... + 22424.

Almost surely, 2^123820800 is an apocalyptic number.

123820800 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 123820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204348900).

123820800 is an abundant number, since it is smaller than the sum of its proper divisors (284877000).

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

123820800 is an equidigital number, since it uses as much as digits as its factorization.

123820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 123820800 is about 11127.4794989701. The cubic root of 123820800 is about 498.4227632131.

The spelling of 123820800 in words is "one hundred twenty-three million, eight hundred twenty thousand, eight hundred".