14004120 has 128 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 3356160.

The previous prime is 14004113. The next prime is 14004127. The reversal of 14004120 is 2140041.

14004120 = T₂₂₁ + T₂₂₂ + ... + T₄₅₅.

It is an interprime number because it is at equal distance from previous prime (14004113) and next prime (14004127).

It is a super-2 number, since 2×14004120² = 392230753948800, which contains 22 as substring.

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 = 14004096 and 14004105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73225 + ... + 73415.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^14004120 is an apocalyptic number.

14004120 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 14004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

14004120 is an abundant number, since it is smaller than the sum of its proper divisors (32444520).

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

14004120 is a wasteful number, since it uses less digits than its factorization.

14004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

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

The square root of 14004120 is about 3742.2079044329. The cubic root of 14004120 is about 241.0378664466.

Adding to 14004120 its reverse (2140041), we get a palindrome (16144161).

The spelling of 14004120 in words is "fourteen million, four thousand, one hundred twenty".