14124010120 has 128 divisors (see below), whose sum is σ = 35476289280. Its totient is φ = 5017600000.

The previous prime is 14124010097. The next prime is 14124010123. The reversal of 14124010120 is 2101042141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14124010094 and 14124010103.

It is not an unprimeable number, because it can be changed into a prime (14124010123) 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, 3528120 + ... + 3532120.

It is an arithmetic number, because the mean of its divisors is an integer number (277158510).

Almost surely, 2^14124010120 is an apocalyptic number.

14124010120 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 14124010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738144640).

14124010120 is an abundant number, since it is smaller than the sum of its proper divisors (21352279160).

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

14124010120 is a wasteful number, since it uses less digits than its factorization.

14124010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14124010120 its reverse (2101042141), we get a palindrome (16225052261).

The spelling of 14124010120 in words is "fourteen billion, one hundred twenty-four million, ten thousand, one hundred twenty".