12000100011200 has 168 divisors, whose sum is σ = 33750354672384. Its totient is φ = 4113788544000.

The previous prime is 12000100011157. The next prime is 12000100011203. The reversal of 12000100011200 is 211000100021.

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

It is not an unprimeable number, because it can be changed into a prime (12000100011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92122115 + ... + 92252285.

It is an arithmetic number, because the mean of its divisors is an integer number (200894968288).

Almost surely, 2^{12000100011200} is an apocalyptic number.

12000100011200 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 12000100011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875177336192).

12000100011200 is an abundant number, since it is smaller than the sum of its proper divisors (21750254661184).

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

12000100011200 is a wasteful number, since it uses less digits than its factorization.

12000100011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138431 (or 138416 counting only the distinct ones).

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

Adding to 12000100011200 its reverse (211000100021), we get a palindrome (12211100111221).

The spelling of 12000100011200 in words is "twelve trillion, one hundred million, eleven thousand, two hundred".