12144341134404 has 18 divisors (see below), whose sum is σ = 30698195645390. Its totient is φ = 4048113711456.

The previous prime is 12144341134369. The next prime is 12144341134411. The reversal of 12144341134404 is 40443114344121.

12144341134404 is a `hidden beast` number, since 1 + 2 + 1 + 443 + 41 + 134 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11687865237504 + 456475896900 = 3418752^2 + 675630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 337342809289 = 12144341134404 / (1 + 2 + 1 + 4 + 4 + 3 + 4 + 1 + 1 + 3 + 4 + 4 + 0 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168671404609 + ... + 168671404680.

Almost surely, 2^{12144341134404} is an apocalyptic number.

It is an amenable number.

12144341134404 is an abundant number, since it is smaller than the sum of its proper divisors (18553854510986).

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

12144341134404 is a wasteful number, since it uses less digits than its factorization.

12144341134404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337342809299 (or 337342809294 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 12144341134404 its reverse (40443114344121), we get a palindrome (52587455478525).

The spelling of 12144341134404 in words is "twelve trillion, one hundred forty-four billion, three hundred forty-one million, one hundred thirty-four thousand, four hundred four".