2112120212112 has 30 divisors (see below), whose sum is σ = 5911003094022. Its totient is φ = 704040070656.

The previous prime is 2112120212107. The next prime is 2112120212141.

2112120212112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1723223296656 + 388896915456 = 1312716^2 + 623616^2 .

It is a super-2 number, since 2×2112120212112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7333750593 + ... + 7333750880.

Almost surely, 2^{2112120212112} is an apocalyptic number.

It is an amenable number.

2112120212112 is an abundant number, since it is smaller than the sum of its proper divisors (3798882881910).

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

2112120212112 is a wasteful number, since it uses less digits than its factorization.

2112120212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667501487 (or 14667501478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2112120 and 212112, that added together give a palindrome (2324232).

The spelling of 2112120212112 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".