122716652800 has 216 divisors, whose sum is σ = 365407515200. Its totient is φ = 39859568640.

The previous prime is 122716652797. The next prime is 122716652801. The reversal of 122716652800 is 8256617221.

122716652800 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122716652801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779116 + ... + 923284.

Almost surely, 2^122716652800 is an apocalyptic number.

122716652800 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 122716652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182703757600).

122716652800 is an abundant number, since it is smaller than the sum of its proper divisors (242690862400).

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

122716652800 is a wasteful number, since it uses less digits than its factorization.

122716652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144221 (or 144202 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 122716652800 in words is "one hundred twenty-two billion, seven hundred sixteen million, six hundred fifty-two thousand, eight hundred".