14122252144000 has 1024 divisors, whose sum is σ = 47263314309120. Its totient is φ = 4052754432000.

The previous prime is 14122252143983. The next prime is 14122252144067. The reversal of 14122252144000 is 44125222141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14122252144000.

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 127 ways as a sum of consecutive naturals, for example, 8056047124 + ... + 8056048876.

It is an arithmetic number, because the mean of its divisors is an integer number (46155580380).

Almost surely, 2^{14122252144000} is an apocalyptic number.

14122252144000 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 14122252144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631657154560).

14122252144000 is an abundant number, since it is smaller than the sum of its proper divisors (33141062165120).

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

14122252144000 is a wasteful number, since it uses less digits than its factorization.

14122252144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 14122252144000 its reverse (44125222141), we get a palindrome (14166377366141).

The spelling of 14122252144000 in words is "fourteen trillion, one hundred twenty-two billion, two hundred fifty-two million, one hundred forty-four thousand".