123129600 has 324 divisors, whose sum is σ = 455080248. Its totient is φ = 29286400.

The previous prime is 123129593. The next prime is 123129647. The reversal of 123129600 is 6921321.

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 35 ways as a sum of consecutive naturals, for example, 2323174 + ... + 2323226.

Almost surely, 2^123129600 is an apocalyptic number.

123129600 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 123129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227540124).

123129600 is an abundant number, since it is smaller than the sum of its proper divisors (331950648).

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

123129600 is a wasteful number, since it uses less digits than its factorization.

123129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 123129600 is about 11096.3777873683. The cubic root of 123129600 is about 497.4935901466.

It can be divided in two parts, 12312 and 9600, that added together give a palindrome (21912).

The spelling of 123129600 in words is "one hundred twenty-three million, one hundred twenty-nine thousand, six hundred".