122432441352 has 192 divisors, whose sum is σ = 355710835200. Its totient is φ = 34869795840.

The previous prime is 122432441347. The next prime is 122432441353. The reversal of 122432441352 is 253144234221.

It is a happy number.

It is a super-3 number, since 3×122432441352³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122432441353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104524 + ... + 5128452.

It is an arithmetic number, because the mean of its divisors is an integer number (1852660600).

Almost surely, 2^122432441352 is an apocalyptic number.

122432441352 is a gapful number since it is divisible by the number (12) 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 122432441352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177855417600).

122432441352 is an abundant number, since it is smaller than the sum of its proper divisors (233278393848).

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

122432441352 is a wasteful number, since it uses less digits than its factorization.

122432441352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24028 (or 24001 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 122432441352 its reverse (253144234221), we get a palindrome (375576675573).

The spelling of 122432441352 in words is "one hundred twenty-two billion, four hundred thirty-two million, four hundred forty-one thousand, three hundred fifty-two".