14005120 has 64 divisors (see below), whose sum is σ = 34027200. Its totient is φ = 5511168.

The previous prime is 14005097. The next prime is 14005133. The reversal of 14005120 is 2150041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14005120² = 392286772428800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14005120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50422 + ... + 50698.

It is an arithmetic number, because the mean of its divisors is an integer number (531675).

Almost surely, 2^14005120 is an apocalyptic number.

14005120 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 14005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013600).

14005120 is an abundant number, since it is smaller than the sum of its proper divisors (20022080).

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

14005120 is an equidigital number, since it uses as much as digits as its factorization.

14005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 14005120 is about 3742.3415130103. The cubic root of 14005120 is about 241.0436036185.

Adding to 14005120 its reverse (2150041), we get a palindrome (16155161).

The spelling of 14005120 in words is "fourteen million, five thousand, one hundred twenty".