122232234432 has 224 divisors, whose sum is σ = 404164214784. Its totient is φ = 31673318400.

The previous prime is 122232234419. The next prime is 122232234529. The reversal of 122232234432 is 234432232221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122232234432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6362313 + ... + 6381495.

Almost surely, 2^122232234432 is an apocalyptic number.

122232234432 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 122232234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202082107392).

122232234432 is an abundant number, since it is smaller than the sum of its proper divisors (281931980352).

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

122232234432 is a wasteful number, since it uses less digits than its factorization.

122232234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19647 (or 19637 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 122232234432 its reverse (234432232221), we get a palindrome (356664466653).

The spelling of 122232234432 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred thirty-four thousand, four hundred thirty-two".