123112800 has 108 divisors (see below), whose sum is σ = 434151900. Its totient is φ = 32828160.

The previous prime is 123112789. The next prime is 123112807. The reversal of 123112800 is 8211321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1350 + ... + 15749.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^123112800 is an apocalyptic number.

123112800 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 123112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217075950).

123112800 is an abundant number, since it is smaller than the sum of its proper divisors (311039100).

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

123112800 is a wasteful number, since it uses less digits than its factorization.

123112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 123112800 is about 11095.6207577584. The cubic root of 123112800 is about 497.4709628432.

The spelling of 123112800 in words is "one hundred twenty-three million, one hundred twelve thousand, eight hundred".