123456308800 has 168 divisors, whose sum is σ = 345805670592. Its totient is φ = 42941184000.

The previous prime is 123456308783. The next prime is 123456308809. The reversal of 123456308800 is 8803654321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (123456308809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252310 + ... + 557290.

Almost surely, 2^123456308800 is an apocalyptic number.

123456308800 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 123456308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172902835296).

123456308800 is an abundant number, since it is smaller than the sum of its proper divisors (222349361792).

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

123456308800 is a wasteful number, since it uses less digits than its factorization.

123456308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305037 (or 305022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 123456308800 in words is "one hundred twenty-three billion, four hundred fifty-six million, three hundred eight thousand, eight hundred".