122220340320 has 384 divisors, whose sum is σ = 435281817600. Its totient is φ = 28771252224.

The previous prime is 122220340273. The next prime is 122220340369. The reversal of 122220340320 is 23043022221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24252361 + ... + 24257399.

It is an arithmetic number, because the mean of its divisors is an integer number (1133546400).

Almost surely, 2^122220340320 is an apocalyptic number.

122220340320 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 122220340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217640908800).

122220340320 is an abundant number, since it is smaller than the sum of its proper divisors (313061477280).

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

122220340320 is a wasteful number, since it uses less digits than its factorization.

122220340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 122220340320 its reverse (23043022221), we get a palindrome (145263362541).

The spelling of 122220340320 in words is "one hundred twenty-two billion, two hundred twenty million, three hundred forty thousand, three hundred twenty".