12001000201120 has 384 divisors, whose sum is σ = 33956724759552. Its totient is φ = 3918871756800.

The previous prime is 12001000201111. The next prime is 12001000201123. The reversal of 12001000201120 is 2110200010021.

12001000201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12001000201097 and 12001000201106.

It is not an unprimeable number, because it can be changed into a prime (12001000201123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10161726930 + ... + 10161728110.

It is an arithmetic number, because the mean of its divisors is an integer number (88428970728).

Almost surely, 2^{12001000201120} is an apocalyptic number.

12001000201120 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 12001000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978362379776).

12001000201120 is an abundant number, since it is smaller than the sum of its proper divisors (21955724558432).

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

12001000201120 is a wasteful number, since it uses less digits than its factorization.

12001000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001000201120 its reverse (2110200010021), we get a palindrome (14111200211141).

The spelling of 12001000201120 in words is "twelve trillion, one billion, two hundred one thousand, one hundred twenty".