12001201022000 has 160 divisors (see below), whose sum is σ = 30430793465280. Its totient is φ = 4571452569600.

The previous prime is 12001201021897. The next prime is 12001201022033. The reversal of 12001201022000 is 22010210021.

It is a happy number.

12001201022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816759 + ... + 5651241.

It is an arithmetic number, because the mean of its divisors is an integer number (190192459158).

Almost surely, 2^{12001201022000} is an apocalyptic number.

12001201022000 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 12001201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215396732640).

12001201022000 is an abundant number, since it is smaller than the sum of its proper divisors (18429592443280).

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

12001201022000 is a wasteful number, since it uses less digits than its factorization.

12001201022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834608 (or 2834592 counting only the distinct ones).

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

Adding to 12001201022000 its reverse (22010210021), we get a palindrome (12023211232021).

The spelling of 12001201022000 in words is "twelve trillion, one billion, two hundred one million, twenty-two thousand".