12144041021312 has 64 divisors (see below), whose sum is σ = 24976344729600. Its totient is φ = 5875510771200.

The previous prime is 12144041021291. The next prime is 12144041021341. The reversal of 12144041021312 is 21312014044121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×12144041021312³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37451237 + ... + 37774107.

It is an arithmetic number, because the mean of its divisors is an integer number (390255386400).

Almost surely, 2^{12144041021312} is an apocalyptic number.

It is an amenable number.

12144041021312 is an abundant number, since it is smaller than the sum of its proper divisors (12832303708288).

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

12144041021312 is an equidigital number, since it uses as much as digits as its factorization.

12144041021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332395 (or 332383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12144041021312 its reverse (21312014044121), we get a palindrome (33456055065433).

The spelling of 12144041021312 in words is "twelve trillion, one hundred forty-four billion, forty-one million, twenty-one thousand, three hundred twelve".