14121313024 has 288 divisors, whose sum is σ = 37123422336. Its totient is φ = 5202247680.

The previous prime is 14121313021. The next prime is 14121313061. The reversal of 14121313024 is 42031312141.

It is a super-2 number, since 2×14121313024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14121312986 and 14121313004.

It is not an unprimeable number, because it can be changed into a prime (14121313021) 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, 71681694 + ... + 71681890.

It is an arithmetic number, because the mean of its divisors is an integer number (128900772).

Almost surely, 2^14121313024 is an apocalyptic number.

14121313024 is a gapful number since it is divisible by the number (14) 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 14121313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561711168).

14121313024 is an abundant number, since it is smaller than the sum of its proper divisors (23002109312).

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

14121313024 is a wasteful number, since it uses less digits than its factorization.

14121313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14121313024 its reverse (42031312141), we get a palindrome (56152625165).

The spelling of 14121313024 in words is "fourteen billion, one hundred twenty-one million, three hundred thirteen thousand, twenty-four".