2112072734412 has 144 divisors (see below), whose sum is σ = 5618702142144. Its totient is φ = 668072448000.

The previous prime is 2112072734377. The next prime is 2112072734437. The reversal of 2112072734412 is 2144372702112.

2112072734412 is a `hidden beast` number, since 2 + 1 + 1 + 207 + 2 + 7 + 3 + 441 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296594212 + ... + 296601332.

It is an arithmetic number, because the mean of its divisors is an integer number (39018764876).

Almost surely, 2^{2112072734412} 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 2112072734412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809351071072).

2112072734412 is an abundant number, since it is smaller than the sum of its proper divisors (3506629407732).

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

2112072734412 is a wasteful number, since it uses less digits than its factorization.

2112072734412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 2112072734412 in words is "two trillion, one hundred twelve billion, seventy-two million, seven hundred thirty-four thousand, four hundred twelve".