122213232202320 has 1920 divisors, whose sum is σ = 513588938204160. Its totient is φ = 25408627015680.

The previous prime is 122213232202301. The next prime is 122213232202343. The reversal of 122213232202320 is 23202232312221.

122213232202320 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 13 + 2 + 322 + 0 + 2 + 320 = 666.

122213232202320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 267425015532 + ... + 267425015988.

It is an arithmetic number, because the mean of its divisors is an integer number (267494238648).

Almost surely, 2^{122213232202320} is an apocalyptic number.

122213232202320 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 122213232202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256794469102080).

122213232202320 is an abundant number, since it is smaller than the sum of its proper divisors (391375706001840).

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

122213232202320 is a wasteful number, since it uses less digits than its factorization.

122213232202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122213232202320 its reverse (23202232312221), we get a palindrome (145415464514541).

The spelling of 122213232202320 in words is "one hundred twenty-two trillion, two hundred thirteen billion, two hundred thirty-two million, two hundred two thousand, three hundred twenty".