14122010320 has 120 divisors (see below), whose sum is σ = 37013479200. Its totient is φ = 4969324800.

The previous prime is 14122010303. The next prime is 14122010363. The reversal of 14122010320 is 2301022141.

14122010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14122010294 and 14122010303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 837331 + ... + 854029.

It is an arithmetic number, because the mean of its divisors is an integer number (308445660).

Almost surely, 2^14122010320 is an apocalyptic number.

14122010320 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 14122010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506739600).

14122010320 is an abundant number, since it is smaller than the sum of its proper divisors (22891468880).

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

14122010320 is a wasteful number, since it uses less digits than its factorization.

14122010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16785 (or 16748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14122010320 its reverse (2301022141), we get a palindrome (16423032461).

The spelling of 14122010320 in words is "fourteen billion, one hundred twenty-two million, ten thousand, three hundred twenty".