12106775072 has 96 divisors (see below), whose sum is σ = 28711065600. Its totient is φ = 4909171968.

The previous prime is 12106775047. The next prime is 12106775081. The reversal of 12106775072 is 27057760121.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4693079 + ... + 4695657.

It is an arithmetic number, because the mean of its divisors is an integer number (299073600).

Almost surely, 2^12106775072 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 12106775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355532800).

12106775072 is an abundant number, since it is smaller than the sum of its proper divisors (16604290528).

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

12106775072 is a wasteful number, since it uses less digits than its factorization.

12106775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 12106775072 in words is "twelve billion, one hundred six million, seven hundred seventy-five thousand, seventy-two".