14004242120 has 64 divisors (see below), whose sum is σ = 34552362240. Its totient is φ = 5066035200.

The previous prime is 14004242117. The next prime is 14004242123. The reversal of 14004242120 is 2124240041.

14004242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14004242117) and next prime (14004242123).

It is a super-2 number, since 2×14004242120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14004242092 and 14004242101.

It is not an unprimeable number, because it can be changed into a prime (14004242123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465 + ... + 167375.

It is an arithmetic number, because the mean of its divisors is an integer number (539880660).

Almost surely, 2^14004242120 is an apocalyptic number.

14004242120 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 14004242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276181120).

14004242120 is an abundant number, since it is smaller than the sum of its proper divisors (20548120120).

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

14004242120 is a wasteful number, since it uses less digits than its factorization.

14004242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165126 (or 165122 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14004242120 its reverse (2124240041), we get a palindrome (16128482161).

The spelling of 14004242120 in words is "fourteen billion, four million, two hundred forty-two thousand, one hundred twenty".