122320011024 has 120 divisors (see below), whose sum is σ = 346057534680. Its totient is φ = 40330192896.

The previous prime is 122320011019. The next prime is 122320011041. The reversal of 122320011024 is 420110023221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19163418624 + 103156592400 = 138432^2 + 321180^2 .

It is a super-2 number, since 2×122320011024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122320010988 and 122320011006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9615292 + ... + 9628004.

It is an arithmetic number, because the mean of its divisors is an integer number (2883812789).

Almost surely, 2^122320011024 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 122320011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173028767340).

122320011024 is an abundant number, since it is smaller than the sum of its proper divisors (223737523656).

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

122320011024 is a wasteful number, since it uses less digits than its factorization.

122320011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122320011024 its reverse (420110023221), we get a palindrome (542430034245).

The spelling of 122320011024 in words is "one hundred twenty-two billion, three hundred twenty million, eleven thousand, twenty-four".