2112615266112 has 1344 divisors, whose sum is σ = 7298611077120. Its totient is φ = 605266421760.

The previous prime is 2112615266093. The next prime is 2112615266119. The reversal of 2112615266112 is 2116625162112.

2112615266112 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 15 + 26 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112615266119) 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 191 ways as a sum of consecutive naturals, for example, 31531571103 + ... + 31531571169.

Almost surely, 2^{2112615266112} 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 2112615266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649305538560).

2112615266112 is an abundant number, since it is smaller than the sum of its proper divisors (5185995811008).

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

2112615266112 is an equidigital number, since it uses as much as digits as its factorization.

2112615266112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 2112615266112 in words is "two trillion, one hundred twelve billion, six hundred fifteen million, two hundred sixty-six thousand, one hundred twelve".