2112109826112 has 672 divisors, whose sum is σ = 7444313036160. Its totient is φ = 585312583680.

The previous prime is 2112109826011. The next prime is 2112109826117. The reversal of 2112109826112 is 2116289012112.

2112109826112 is a `hidden beast` number, since 2 + 11 + 21 + 0 + 9 + 8 + 2 + 611 + 2 = 666.

It is a super-2 number, since 2×2112109826112² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112109826117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242404668 + ... + 242413380.

It is an arithmetic number, because the mean of its divisors is an integer number (11077846780).

Almost surely, 2^{2112109826112} is an apocalyptic number.

2112109826112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112109826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722156518080).

2112109826112 is an abundant number, since it is smaller than the sum of its proper divisors (5332203210048).

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

2112109826112 is a wasteful number, since it uses less digits than its factorization.

2112109826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 2112109826112 in words is "two trillion, one hundred twelve billion, one hundred nine million, eight hundred twenty-six thousand, one hundred twelve".