12000201102000 has 960 divisors, whose sum is σ = 45416869205760. Its totient is φ = 2944026624000.

The previous prime is 12000201101963. The next prime is 12000201102059. The reversal of 12000201102000 is 20110200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3373684222 + ... + 3373687778.

It is an arithmetic number, because the mean of its divisors is an integer number (47309238756).

Almost surely, 2^{12000201102000} is an apocalyptic number.

12000201102000 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 12000201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708434602880).

12000201102000 is an abundant number, since it is smaller than the sum of its proper divisors (33416668103760).

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

12000201102000 is a wasteful number, since it uses less digits than its factorization.

12000201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000201102000 its reverse (20110200021), we get a palindrome (12020311302021).

The spelling of 12000201102000 in words is "twelve trillion, two hundred one million, one hundred two thousand".