14122211124432 has 80 divisors (see below), whose sum is σ = 36909776373120. Its totient is φ = 4652305760256.

The previous prime is 14122211124431. The next prime is 14122211124443. The reversal of 14122211124432 is 23442111222141.

It is a happy number.

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 14122211124432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122211124431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8244493 + ... + 9808979.

It is an arithmetic number, because the mean of its divisors is an integer number (461372204664).

Almost surely, 2^{14122211124432} is an apocalyptic number.

14122211124432 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 14122211124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454888186560).

14122211124432 is an abundant number, since it is smaller than the sum of its proper divisors (22787565248688).

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

14122211124432 is a wasteful number, since it uses less digits than its factorization.

14122211124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566700 (or 1566694 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 14122211124432 its reverse (23442111222141), we get a palindrome (37564322346573).

The spelling of 14122211124432 in words is "fourteen trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-four thousand, four hundred thirty-two".