2112130312112 has 160 divisors (see below), whose sum is σ = 4594799753280. Its totient is φ = 935682048000.

The previous prime is 2112130312109. The next prime is 2112130312121.

2112130312112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112130312112² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 201130862 + ... + 201141362.

It is an arithmetic number, because the mean of its divisors is an integer number (28717498458).

Almost surely, 2^{2112130312112} 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 2112130312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297399876640).

2112130312112 is an abundant number, since it is smaller than the sum of its proper divisors (2482669441168).

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

2112130312112 is a wasteful number, since it uses less digits than its factorization.

2112130312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2112130 and 312112, that added together give a palindrome (2424242).

The spelling of 2112130312112 in words is "two trillion, one hundred twelve billion, one hundred thirty million, three hundred twelve thousand, one hundred twelve".