12012001022000 has 480 divisors, whose sum is σ = 35568819771264. Its totient is φ = 3904395264000.

The previous prime is 12012001021991. The next prime is 12012001022017. The reversal of 12012001022000 is 22010021021.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 254678420 + ... + 254725580.

Almost surely, 2^{12012001022000} is an apocalyptic number.

12012001022000 is a gapful number since it is divisible by the number (10) 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 12012001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784409885632).

12012001022000 is an abundant number, since it is smaller than the sum of its proper divisors (23556818749264).

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

12012001022000 is a wasteful number, since it uses less digits than its factorization.

12012001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47334 (or 47311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12012001022000 its reverse (22010021021), we get a palindrome (12034011043021).

The spelling of 12012001022000 in words is "twelve trillion, twelve billion, one million, twenty-two thousand".