12012100212112 has 270 divisors, whose sum is σ = 32223348546354. Its totient is φ = 4320030274560.

The previous prime is 12012100212097. The next prime is 12012100212139. The reversal of 12012100212112 is 21121200121021.

It can be written as a sum of positive squares in 3 ways, for example, as 10143712656 + 12001956499456 = 100716^2 + 3464384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15657388 + ... + 16406644.

Almost surely, 2^{12012100212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012100212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111674273177).

12012100212112 is an abundant number, since it is smaller than the sum of its proper divisors (20211248334242).

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

12012100212112 is a wasteful number, since it uses less digits than its factorization.

12012100212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749327 (or 749290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12012100212112 its reverse (21121200121021), we get a palindrome (33133300333133).

The spelling of 12012100212112 in words is "twelve trillion, twelve billion, one hundred million, two hundred twelve thousand, one hundred twelve".