123984604800 has 768 divisors, whose sum is σ = 536528160000. Its totient is φ = 27358248960.

The previous prime is 123984604729. The next prime is 123984604801. The reversal of 123984604800 is 8406489321.

It is a happy number.

123984604800 is a `hidden beast` number, since 1 + 2 + 39 + 8 + 4 + 604 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123984604801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17535666 + ... + 17542734.

It is an arithmetic number, because the mean of its divisors is an integer number (698604375).

Almost surely, 2^123984604800 is an apocalyptic number.

123984604800 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 123984604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268264080000).

123984604800 is an abundant number, since it is smaller than the sum of its proper divisors (412543555200).

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

123984604800 is a wasteful number, since it uses less digits than its factorization.

123984604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 123984604800 in words is "one hundred twenty-three billion, nine hundred eighty-four million, six hundred four thousand, eight hundred".