122131320233312 has 192 divisors, whose sum is σ = 264377693664000. Its totient is φ = 55189555918848.

The previous prime is 122131320233291. The next prime is 122131320233369. The reversal of 122131320233312 is 213332023131221.

122131320233312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122131320233312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43324340639 + ... + 43324343457.

It is an arithmetic number, because the mean of its divisors is an integer number (1376967154500).

Almost surely, 2^{122131320233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122131320233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132188846832000).

122131320233312 is an abundant number, since it is smaller than the sum of its proper divisors (142246373430688).

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

122131320233312 is a wasteful number, since it uses less digits than its factorization.

122131320233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 122131320233312 its reverse (213332023131221), we get a palindrome (335463343364533).

The spelling of 122131320233312 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, two hundred thirty-three thousand, three hundred twelve".