123052800 has 432 divisors, whose sum is σ = 479031840. Its totient is φ = 27525120.

The previous prime is 123052789. The next prime is 123052801. The reversal of 123052800 is 8250321.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 850 × 174 × 832.

It is not an unprimeable number, because it can be changed into a prime (123052801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4243186 + ... + 4243214.

It is an arithmetic number, because the mean of its divisors is an integer number (1108870).

Almost surely, 2^123052800 is an apocalyptic number.

123052800 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 123052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239515920).

123052800 is an abundant number, since it is smaller than the sum of its proper divisors (355979040).

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

123052800 is a wasteful number, since it uses less digits than its factorization.

123052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 123052800 is about 11092.9166588414. The cubic root of 123052800 is about 497.3901342372.

The spelling of 123052800 in words is "one hundred twenty-three million, fifty-two thousand, eight hundred".