122301333321232 has 120 divisors (see below), whose sum is σ = 260841429607560. Its totient is φ = 55511512842240.

The previous prime is 122301333321203. The next prime is 122301333321283. The reversal of 122301333321232 is 232123333103221.

It can be written as a sum of positive squares in 12 ways, for example, as 95739101652496 + 26562231668736 = 9784636^2 + 5153856^2 .

It is a super-2 number, since 2×122301333321232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122301333321194 and 122301333321203.

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, 967993168 + ... + 968119504.

It is an arithmetic number, because the mean of its divisors is an integer number (2173678580063).

Almost surely, 2^{122301333321232} 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 122301333321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130420714803780).

122301333321232 is an abundant number, since it is smaller than the sum of its proper divisors (138540096286328).

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

122301333321232 is a wasteful number, since it uses less digits than its factorization.

122301333321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132301 (or 132282 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 122301333321232 its reverse (232123333103221), we get a palindrome (354424666424453).

The spelling of 122301333321232 in words is "one hundred twenty-two trillion, three hundred one billion, three hundred thirty-three million, three hundred twenty-one thousand, two hundred thirty-two".