123991084800 has 1728 divisors, whose sum is σ = 533960824320. Its totient is φ = 27869184000.

The previous prime is 123991084799. The next prime is 123991084823. The reversal of 123991084800 is 8480199321.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2883513579 + ... + 2883513621.

Almost surely, 2^123991084800 is an apocalyptic number.

123991084800 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 123991084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266980412160).

123991084800 is an abundant number, since it is smaller than the sum of its proper divisors (409969739520).

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

123991084800 is a wasteful number, since it uses less digits than its factorization.

123991084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 123991084800 in words is "one hundred twenty-three billion, nine hundred ninety-one million, eighty-four thousand, eight hundred".