14200120 has 64 divisors (see below), whose sum is σ = 35510400. Its totient is φ = 5066880.

The previous prime is 14200103. The next prime is 14200127. The reversal of 14200120 is 2100241.

14200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 14200097 and 14200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25687 + ... + 26233.

It is an arithmetic number, because the mean of its divisors is an integer number (554850).

Almost surely, 2^14200120 is an apocalyptic number.

14200120 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 14200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755200).

14200120 is an abundant number, since it is smaller than the sum of its proper divisors (21310280).

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

14200120 is a wasteful number, since it uses less digits than its factorization.

14200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14200120 is about 3768.3046585965. The cubic root of 14200120 is about 242.1571731294.

Adding to 14200120 its reverse (2100241), we get a palindrome (16300361).

The spelling of 14200120 in words is "fourteen million, two hundred thousand, one hundred twenty".