123752428800 has 1728 divisors, whose sum is σ = 564107894784. Its totient is φ = 23062118400.

The previous prime is 123752428783. The next prime is 123752428831. The reversal of 123752428800 is 8824257321.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 903302332 + ... + 903302468.

It is an arithmetic number, because the mean of its divisors is an integer number (326451328).

Almost surely, 2^123752428800 is an apocalyptic number.

123752428800 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 123752428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282053947392).

123752428800 is an abundant number, since it is smaller than the sum of its proper divisors (440355465984).

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

123752428800 is a wasteful number, since it uses less digits than its factorization.

123752428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 123752428800 in words is "one hundred twenty-three billion, seven hundred fifty-two million, four hundred twenty-eight thousand, eight hundred".