14202120 has 64 divisors (see below), whose sum is σ = 44856000. Its totient is φ = 3587328.

The previous prime is 14202119. The next prime is 14202143. The reversal of 14202120 is 2120241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14202096 and 14202105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (700875).

Almost surely, 2^14202120 is an apocalyptic number.

14202120 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 14202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428000).

14202120 is an abundant number, since it is smaller than the sum of its proper divisors (30653880).

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

14202120 is a wasteful number, since it uses less digits than its factorization.

14202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14202120 is about 3768.5700205781. The cubic root of 14202120 is about 242.1685413810.

Adding to 14202120 its reverse (2120241), we get a palindrome (16322361).

The spelling of 14202120 in words is "fourteen million, two hundred two thousand, one hundred twenty".