14125120 has 56 divisors (see below), whose sum is σ = 34573464. Its totient is φ = 5492736.

The previous prime is 14125103. The next prime is 14125127. The reversal of 14125120 is 2152141.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 10188864 = 1984^2 + 3192^2 .

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 = 14125094 and 14125103.

It is not an unprimeable number, because it can be changed into a prime (14125127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11244 + ... + 12436.

Almost surely, 2^14125120 is an apocalyptic number.

14125120 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 14125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286732).

14125120 is an abundant number, since it is smaller than the sum of its proper divisors (20448344).

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

14125120 is a wasteful number, since it uses less digits than its factorization.

14125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 14125120 is about 3758.3400591218. The cubic root of 14125120 is about 241.7300908971.

Adding to 14125120 its reverse (2152141), we get a palindrome (16277261).

The spelling of 14125120 in words is "fourteen million, one hundred twenty-five thousand, one hundred twenty".