12130414114144 has 96 divisors (see below), whose sum is σ = 24736054565376. Its totient is φ = 5851112117760.

The previous prime is 12130414114099. The next prime is 12130414114213. The reversal of 12130414114144 is 44141141403121.

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, 180352329 + ... + 180419575.

It is an arithmetic number, because the mean of its divisors is an integer number (257667235056).

Almost surely, 2^{12130414114144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130414114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368027282688).

12130414114144 is an abundant number, since it is smaller than the sum of its proper divisors (12605640451232).

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

12130414114144 is a wasteful number, since it uses less digits than its factorization.

12130414114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68588 (or 68580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 12130414114144 its reverse (44141141403121), we get a palindrome (56271555517265).

The spelling of 12130414114144 in words is "twelve trillion, one hundred thirty billion, four hundred fourteen million, one hundred fourteen thousand, one hundred forty-four".