14119120 has 20 divisors (see below), whose sum is σ = 32827140. Its totient is φ = 5647616.

The previous prime is 14119103. The next prime is 14119123. The reversal of 14119120 is 2191141.

14119120 = 335² + 336² + ... + 430².

14119120 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 2 ways, for example, as 4359744 + 9759376 = 2088^2 + 3124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14119123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88165 + ... + 88324.

It is an arithmetic number, because the mean of its divisors is an integer number (1641357).

Almost surely, 2^14119120 is an apocalyptic number.

14119120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14119120 is an abundant number, since it is smaller than the sum of its proper divisors (18708020).

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

14119120 is a wasteful number, since it uses less digits than its factorization.

14119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176502 (or 176496 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 14119120 is about 3757.5417496017. The cubic root of 14119120 is about 241.6958590710.

The spelling of 14119120 in words is "fourteen million, one hundred nineteen thousand, one hundred twenty".