12000000002112 has 42 divisors (see below), whose sum is σ = 34395833341038. Its totient is φ = 4000000000512.

The previous prime is 12000000002041. The next prime is 12000000002117. The reversal of 12000000002112 is 21120000000021.

It can be written as a sum of positive squares in only one way, i.e., 11821659333696 + 178340668416 = 3438264^2 + 422304^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12000000002094 and 12000000002103.

It is not an unprimeable number, because it can be changed into a prime (12000000002117) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10416666093 + ... + 10416667244.

Almost surely, 2^{12000000002112} is an apocalyptic number.

12000000002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000000002112 is an abundant number, since it is smaller than the sum of its proper divisors (22395833338926).

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

12000000002112 is a wasteful number, since it uses less digits than its factorization.

12000000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833333355 (or 20833333342 counting only the distinct ones).

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

Adding to 12000000002112 its reverse (21120000000021), we get a palindrome (33120000002133).

The spelling of 12000000002112 in words is "twelve trillion, two thousand, one hundred twelve".