12001201022412 has 384 divisors, whose sum is σ = 37183684608000. Its totient is φ = 3275269240320.

The previous prime is 12001201022411. The next prime is 12001201022453. The reversal of 12001201022412 is 21422010210021.

12001201022412 is a `hidden beast` number, since 1 + 200 + 1 + 20 + 10 + 22 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12001201022411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1266078289 + ... + 1266087767.

It is an arithmetic number, because the mean of its divisors is an integer number (96832512000).

Almost surely, 2^{12001201022412} is an apocalyptic number.

12001201022412 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 12001201022412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18591842304000).

12001201022412 is an abundant number, since it is smaller than the sum of its proper divisors (25182483585588).

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

12001201022412 is a wasteful number, since it uses less digits than its factorization.

12001201022412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12001201022412 its reverse (21422010210021), we get a palindrome (33423211232433).

The spelling of 12001201022412 in words is "twelve trillion, one billion, two hundred one million, twenty-two thousand, four hundred twelve".