12012001002012 has 288 divisors, whose sum is σ = 32687490689280. Its totient is φ = 3404112814080.

The previous prime is 12012001002011. The next prime is 12012001002101. The reversal of 12012001002012 is 21020010021021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012001002011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4427569968 + ... + 4427572680.

It is an arithmetic number, because the mean of its divisors is an integer number (113498231560).

Almost surely, 2^{12012001002012} is an apocalyptic number.

12012001002012 is a gapful number since it is divisible by the number (12) 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 12012001002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343745344640).

12012001002012 is an abundant number, since it is smaller than the sum of its proper divisors (20675489687268).

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

12012001002012 is a wasteful number, since it uses less digits than its factorization.

12012001002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012001002012 its reverse (21020010021021), we get a palindrome (33032011023033).

The spelling of 12012001002012 in words is "twelve trillion, twelve billion, one million, two thousand, twelve".