122132332314 has 144 divisors (see below), whose sum is σ = 293784087168. Its totient is φ = 36625526784.

The previous prime is 122132332303. The next prime is 122132332351. The reversal of 122132332314 is 413233231221.

122132332314 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 323 + 323 + 14 = 666.

122132332314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10507434 + ... + 10519050.

It is an arithmetic number, because the mean of its divisors is an integer number (2040167272).

Almost surely, 2^122132332314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122132332314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892043584).

122132332314 is an abundant number, since it is smaller than the sum of its proper divisors (171651754854).

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

122132332314 is a wasteful number, since it uses less digits than its factorization.

122132332314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11749 (or 11729 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 122132332314 its reverse (413233231221), we get a palindrome (535365563535).

The spelling of 122132332314 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred fourteen".