122313212120320 has 216 divisors, whose sum is σ = 319349833552512. Its totient is φ = 44862704640000.

The previous prime is 122313212120273. The next prime is 122313212120347. The reversal of 122313212120320 is 23021212313221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30792045 + ... + 34536595.

It is an arithmetic number, because the mean of its divisors is an integer number (1478471451632).

Almost surely, 2^{122313212120320} is an apocalyptic number.

122313212120320 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 122313212120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159674916776256).

122313212120320 is an abundant number, since it is smaller than the sum of its proper divisors (197036621432192).

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

122313212120320 is a wasteful number, since it uses less digits than its factorization.

122313212120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744749 (or 3744722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122313212120320 its reverse (23021212313221), we get a palindrome (145334424433541).

The spelling of 122313212120320 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred twelve million, one hundred twenty thousand, three hundred twenty".