14002120 has 64 divisors (see below), whose sum is σ = 34784640. Its totient is φ = 5072320.

The previous prime is 14002117. The next prime is 14002139. The reversal of 14002120 is 2120041.

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 = 14002097 and 14002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53109 + ... + 53371.

It is an arithmetic number, because the mean of its divisors is an integer number (543510).

Almost surely, 2^14002120 is an apocalyptic number.

14002120 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 14002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392320).

14002120 is an abundant number, since it is smaller than the sum of its proper divisors (20782520).

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

14002120 is a wasteful number, since it uses less digits than its factorization.

14002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

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

The square root of 14002120 is about 3741.9406729664. The cubic root of 14002120 is about 241.0263912835.

Adding to 14002120 its reverse (2120041), we get a palindrome (16122161).

It can be divided in two parts, 140021 and 20, that added together give a palindrome (140041).

The spelling of 14002120 in words is "fourteen million, two thousand, one hundred twenty".