14201120320 has 56 divisors (see below), whose sum is σ = 33853072248. Its totient is φ = 5674291200.

The previous prime is 14201120291. The next prime is 14201120321. The reversal of 14201120320 is 2302110241.

14201120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 504631296 + 13696489024 = 22464^2 + 117032^2 .

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 = 14201120294 and 14201120303.

It is not an unprimeable number, because it can be changed into a prime (14201120321) 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 7 ways as a sum of consecutive naturals, for example, 277540 + ... + 324700.

Almost surely, 2^14201120320 is an apocalyptic number.

14201120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201120320 is an abundant number, since it is smaller than the sum of its proper divisors (19651951928).

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

14201120320 is an equidigital number, since it uses as much as digits as its factorization.

14201120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48119 (or 48109 counting only the distinct ones).

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

Adding to 14201120320 its reverse (2302110241), we get a palindrome (16503230561).

The spelling of 14201120320 in words is "fourteen billion, two hundred one million, one hundred twenty thousand, three hundred twenty".