9716126112 has 216 divisors, whose sum is σ = 35063788032. Its totient is φ = 2523628800.

The previous prime is 9716126081. The next prime is 9716126171. The reversal of 9716126112 is 2116216179.

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

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 35 ways as a sum of consecutive naturals, for example, 123937 + ... + 186527.

It is an arithmetic number, because the mean of its divisors is an integer number (162332352).

Almost surely, 2^9716126112 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 9716126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17531894016).

9716126112 is an abundant number, since it is smaller than the sum of its proper divisors (25347661920).

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

9716126112 is a wasteful number, since it uses less digits than its factorization.

9716126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62632 (or 62614 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 9716126112 is about 98570.4119500370. The cubic root of 9716126112 is about 2133.8524263725.

The spelling of 9716126112 in words is "nine billion, seven hundred sixteen million, one hundred twenty-six thousand, one hundred twelve".