14144121312 has 96 divisors (see below), whose sum is σ = 39339965952. Its totient is φ = 4434253824.

The previous prime is 14144121283. The next prime is 14144121419. The reversal of 14144121312 is 21312144141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697833 + ... + 3701655.

It is an arithmetic number, because the mean of its divisors is an integer number (409791312).

Almost surely, 2^14144121312 is an apocalyptic number.

14144121312 is a gapful number since it is divisible by the number (12) 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 14144121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669982976).

14144121312 is an abundant number, since it is smaller than the sum of its proper divisors (25195844640).

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

14144121312 is a wasteful number, since it uses less digits than its factorization.

14144121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6112 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 14144121312 its reverse (21312144141), we get a palindrome (35456265453).

The spelling of 14144121312 in words is "fourteen billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred twelve".