122322442240 has 96 divisors (see below), whose sum is σ = 293817888000. Its totient is φ = 48876355584.

The previous prime is 122322442211. The next prime is 122322442271. The reversal of 122322442240 is 42244223221.

It is a happy number.

It is a super-3 number, since 3×122322442240³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122322442199 and 122322442208.

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 7 ways as a sum of consecutive naturals, for example, 10326241 + ... + 10338079.

It is an arithmetic number, because the mean of its divisors is an integer number (3060603000).

Almost surely, 2^122322442240 is an apocalyptic number.

122322442240 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 122322442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146908944000).

122322442240 is an abundant number, since it is smaller than the sum of its proper divisors (171495445760).

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

122322442240 is a wasteful number, since it uses less digits than its factorization.

122322442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 122322442240 its reverse (42244223221), we get a palindrome (164566665461).

The spelling of 122322442240 in words is "one hundred twenty-two billion, three hundred twenty-two million, four hundred forty-two thousand, two hundred forty".