14024121120 has 144 divisors (see below), whose sum is σ = 48106231992. Its totient is φ = 3720314880.

The previous prime is 14024121077. The next prime is 14024121161. The reversal of 14024121120 is 2112142041.

14024121120 is a `hidden beast` number, since 140 + 2 + 412 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11578620816 + 2445500304 = 107604^2 + 49452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 14024121093 and 14024121102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252690 + ... + 303150.

Almost surely, 2^14024121120 is an apocalyptic number.

14024121120 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 14024121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053115996).

14024121120 is an abundant number, since it is smaller than the sum of its proper divisors (34082110872).

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

14024121120 is a wasteful number, since it uses less digits than its factorization.

14024121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50675 (or 50664 counting only the distinct ones).

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

Adding to 14024121120 its reverse (2112142041), we get a palindrome (16136263161).

The spelling of 14024121120 in words is "fourteen billion, twenty-four million, one hundred twenty-one thousand, one hundred twenty".