123468600 has 144 divisors (see below), whose sum is σ = 401146200. Its totient is φ = 31412480.

The previous prime is 123468599. The next prime is 123468601. The reversal of 123468600 is 6864321.

It is an interprime number because it is at equal distance from previous prime (123468599) and next prime (123468601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123468601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317206 + ... + 317594.

Almost surely, 2^123468600 is an apocalyptic number.

123468600 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 123468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200573100).

123468600 is an abundant number, since it is smaller than the sum of its proper divisors (277677600).

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

123468600 is a wasteful number, since it uses less digits than its factorization.

123468600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 123468600 is about 11111.6425428467. The cubic root of 123468600 is about 497.9497376734.

The spelling of 123468600 in words is "one hundred twenty-three million, four hundred sixty-eight thousand, six hundred".