122326315200 has 504 divisors, whose sum is σ = 476253535680. Its totient is φ = 29641113600.

The previous prime is 122326315159. The next prime is 122326315283. The reversal of 122326315200 is 2513623221.

It is a happy number.

122326315200 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 631 + 5 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7090585 + ... + 7107815.

Almost surely, 2^122326315200 is an apocalyptic number.

122326315200 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 122326315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238126767840).

122326315200 is an abundant number, since it is smaller than the sum of its proper divisors (353927220480).

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

122326315200 is a wasteful number, since it uses less digits than its factorization.

122326315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 122326315200 its reverse (2513623221), we get a palindrome (124839938421).

The spelling of 122326315200 in words is "one hundred twenty-two billion, three hundred twenty-six million, three hundred fifteen thousand, two hundred".