122011031320 has 128 divisors (see below), whose sum is σ = 286721856000. Its totient is φ = 46675722240.

The previous prime is 122011031309. The next prime is 122011031353. The reversal of 122011031320 is 23130110221.

It is a junction number, because it is equal to n+sod(n) for n = 122011031294 and 122011031303.

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 31 ways as a sum of consecutive naturals, for example, 57308016 + ... + 57310144.

It is an arithmetic number, because the mean of its divisors is an integer number (2240014500).

Almost surely, 2^122011031320 is an apocalyptic number.

122011031320 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 122011031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143360928000).

122011031320 is an abundant number, since it is smaller than the sum of its proper divisors (164710824680).

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

122011031320 is a wasteful number, since it uses less digits than its factorization.

122011031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122011031320 its reverse (23130110221), we get a palindrome (145141141541).

The spelling of 122011031320 in words is "one hundred twenty-two billion, eleven million, thirty-one thousand, three hundred twenty".