8126312112 has 120 divisors (see below), whose sum is σ = 23186724288. Its totient is φ = 2656281600.

The previous prime is 8126312107. The next prime is 8126312123. The reversal of 8126312112 is 2112136218.

8126312112 is a `hidden beast` number, since 8 + 1 + 2 + 631 + 21 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900537 + ... + 1904807.

Almost surely, 2^8126312112 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 8126312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593362144).

8126312112 is an abundant number, since it is smaller than the sum of its proper divisors (15060412176).

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

8126312112 is a wasteful number, since it uses less digits than its factorization.

8126312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4530 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8126312112 is about 90146.0598806182. The cubic root of 8126312112 is about 2010.4710917777.

The spelling of 8126312112 in words is "eight billion, one hundred twenty-six million, three hundred twelve thousand, one hundred twelve".