123118800 has 120 divisors (see below), whose sum is σ = 450762816. Its totient is φ = 28139520.

The previous prime is 123118789. The next prime is 123118813. The reversal of 123118800 is 8811321.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072 + ... + 15728.

Almost surely, 2^123118800 is an apocalyptic number.

123118800 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 123118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225381408).

123118800 is an abundant number, since it is smaller than the sum of its proper divisors (327644016).

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

123118800 is a wasteful number, since it uses less digits than its factorization.

123118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 123118800 is about 11095.8911314054. The cubic root of 123118800 is about 497.4790442593.

The spelling of 123118800 in words is "one hundred twenty-three million, one hundred eighteen thousand, eight hundred".