12012013321344 has 256 divisors, whose sum is σ = 36735823872000. Its totient is φ = 3861379372032.

The previous prime is 12012013321339. The next prime is 12012013321349. The reversal of 12012013321344 is 44312331021021.

12012013321344 is a `hidden beast` number, since 1 + 201 + 201 + 3 + 3 + 213 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (12012013321339) and next prime (12012013321349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12012013321349) 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, 11228449 + ... + 12251615.

It is an arithmetic number, because the mean of its divisors is an integer number (143499312000).

Almost surely, 2^{12012013321344} 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 12012013321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367911936000).

12012013321344 is an abundant number, since it is smaller than the sum of its proper divisors (24723810550656).

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

12012013321344 is a wasteful number, since it uses less digits than its factorization.

12012013321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023312 (or 1023294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12012013321344 its reverse (44312331021021), we get a palindrome (56324344342365).

The spelling of 12012013321344 in words is "twelve trillion, twelve billion, thirteen million, three hundred twenty-one thousand, three hundred forty-four".