12000200112012 has 192 divisors, whose sum is σ = 34531660800000. Its totient is φ = 3165745296384.

The previous prime is 12000200112007. The next prime is 12000200112013. The reversal of 12000200112012 is 21021100200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12000200112013) 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, 15356739 + ... + 16119237.

It is an arithmetic number, because the mean of its divisors is an integer number (179852400000).

Almost surely, 2^{12000200112012} is an apocalyptic number.

12000200112012 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 12000200112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265830400000).

12000200112012 is an abundant number, since it is smaller than the sum of its proper divisors (22531460687988).

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

12000200112012 is a wasteful number, since it uses less digits than its factorization.

12000200112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762740 (or 762738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000200112012 its reverse (21021100200021), we get a palindrome (33021300312033).

The spelling of 12000200112012 in words is "twelve trillion, two hundred million, one hundred twelve thousand, twelve".