122327200800 has 864 divisors, whose sum is σ = 509034419712. Its totient is φ = 27064074240.

The previous prime is 122327200799. The next prime is 122327200817. The reversal of 122327200800 is 8002723221.

It is a happy number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 267674172 + ... + 267674628.

It is an arithmetic number, because the mean of its divisors is an integer number (589160208).

Almost surely, 2^122327200800 is an apocalyptic number.

122327200800 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 122327200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254517209856).

122327200800 is an abundant number, since it is smaller than the sum of its proper divisors (386707218912).

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

122327200800 is a wasteful number, since it uses less digits than its factorization.

122327200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 122327200800 in words is "one hundred twenty-two billion, three hundred twenty-seven million, two hundred thousand, eight hundred".