14082120 has 256 divisors, whose sum is σ = 54432000. Its totient is φ = 3207168.

The previous prime is 14082083. The next prime is 14082143. The reversal of 14082120 is 2128041.

It is a super-2 number, since 2×14082120² = 396612207388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14082093 and 14082102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238651 + ... + 238709.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 2^14082120 is an apocalyptic number.

14082120 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 14082120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

14082120 is an abundant number, since it is smaller than the sum of its proper divisors (40349880).

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

14082120 is a wasteful number, since it uses less digits than its factorization.

14082120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14082120 is about 3752.6150881752. The cubic root of 14082120 is about 241.4845482186.

The spelling of 14082120 in words is "fourteen million, eighty-two thousand, one hundred twenty".