123100800 has 96 divisors (see below), whose sum is σ = 405494880. Its totient is φ = 32824320.

The previous prime is 123100793. The next prime is 123100801. The reversal of 123100800 is 8001321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123100800.

It is not an unprimeable number, because it can be changed into a prime (123100801) 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 11 ways as a sum of consecutive naturals, for example, 3189 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (4223905).

Almost surely, 2^123100800 is an apocalyptic number.

123100800 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 123100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202747440).

123100800 is an abundant number, since it is smaller than the sum of its proper divisors (282394080).

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

123100800 is a wasteful number, since it uses less digits than its factorization.

123100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12850 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123100800 is about 11095.0799906986. The cubic root of 123100800 is about 497.4547992233.

The spelling of 123100800 in words is "one hundred twenty-three million, one hundred thousand, eight hundred".