123836800 has 48 divisors (see below), whose sum is σ = 305923500. Its totient is φ = 49533440.

The previous prime is 123836773. The next prime is 123836803. The reversal of 123836800 is 8638321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123836803) 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 5 ways as a sum of consecutive naturals, for example, 16150 + ... + 22549.

Almost surely, 2^123836800 is an apocalyptic number.

123836800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123836800 is an abundant number, since it is smaller than the sum of its proper divisors (182086700).

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

123836800 is an equidigital number, since it uses as much as digits as its factorization.

123836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38723 (or 38706 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 123836800 is about 11128.1984166351. The cubic root of 123836800 is about 498.4442308522. Note that the first 3 decimals are identical.

The spelling of 123836800 in words is "one hundred twenty-three million, eight hundred thirty-six thousand, eight hundred".