123208800 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 27494400.

The previous prime is 123208793. The next prime is 123208801. The reversal of 123208800 is 8802321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123208801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343021 + ... + 343379.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^123208800 is an apocalyptic number.

123208800 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 123208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

123208800 is an abundant number, since it is smaller than the sum of its proper divisors (349260960).

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

123208800 is a wasteful number, since it uses less digits than its factorization.

123208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

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

The square root of 123208800 is about 11099.9459458143. The cubic root of 123208800 is about 497.6002340063.

The spelling of 123208800 in words is "one hundred twenty-three million, two hundred eight thousand, eight hundred".