12000200111000 has 256 divisors, whose sum is σ = 28651955904000. Its totient is φ = 4703624640000.

The previous prime is 12000200110993. The next prime is 12000200111027. The reversal of 12000200111000 is 11100200021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4726347731 + ... + 4726350269.

It is an arithmetic number, because the mean of its divisors is an integer number (111921702750).

Almost surely, 2^{12000200111000} is an apocalyptic number.

12000200111000 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 12000200111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325977952000).

12000200111000 is an abundant number, since it is smaller than the sum of its proper divisors (16651755793000).

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

12000200111000 is a wasteful number, since it uses less digits than its factorization.

12000200111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000200111000 its reverse (11100200021), we get a palindrome (12011300311021).

The spelling of 12000200111000 in words is "twelve trillion, two hundred million, one hundred eleven thousand".