123466828800 has 1056 divisors, whose sum is σ = 491411008000. Its totient is φ = 27311800320.

The previous prime is 123466828789. The next prime is 123466828819. The reversal of 123466828800 is 8828664321.

123466828800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 123466828800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132723146 + ... + 1132723254.

Almost surely, 2^123466828800 is an apocalyptic number.

123466828800 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 123466828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245705504000).

123466828800 is an abundant number, since it is smaller than the sum of its proper divisors (367944179200).

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

123466828800 is a wasteful number, since it uses less digits than its factorization.

123466828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 123466828800 in words is "one hundred twenty-three billion, four hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred".