9012106112 has 64 divisors (see below), whose sum is σ = 18276645600. Its totient is φ = 4425523200.

The previous prime is 9012106097. The next prime is 9012106121. The reversal of 9012106112 is 2116012109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2551964 + ... + 2555492.

Almost surely, 2^9012106112 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 9012106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138322800).

9012106112 is an abundant number, since it is smaller than the sum of its proper divisors (9264539488).

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

9012106112 is a wasteful number, since it uses less digits than its factorization.

9012106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 9012106112 is about 94932.1131756794. The cubic root of 9012106112 is about 2081.0160617673.

The spelling of 9012106112 in words is "nine billion, twelve million, one hundred six thousand, one hundred twelve".