14115120 has 80 divisors (see below), whose sum is σ = 44259072. Its totient is φ = 3720960.

The previous prime is 14115113. The next prime is 14115131. The reversal of 14115120 is 2151141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14115120² = 398473225228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14115120.

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 15 ways as a sum of consecutive naturals, for example, 24435 + ... + 25005.

Almost surely, 2^14115120 is an apocalyptic number.

14115120 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 14115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129536).

14115120 is an abundant number, since it is smaller than the sum of its proper divisors (30143952).

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

14115120 is a wasteful number, since it uses less digits than its factorization.

14115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 14115120 is about 3757.0094490166. The cubic root of 14115120 is about 241.6730324654.

Adding to 14115120 its reverse (2151141), we get a palindrome (16266261).

The spelling of 14115120 in words is "fourteen million, one hundred fifteen thousand, one hundred twenty".