9918122112 has 160 divisors (see below), whose sum is σ = 29611543500. Its totient is φ = 3295365120.

The previous prime is 9918122033. The next prime is 9918122147. The reversal of 9918122112 is 2112218199.

It can be written as a sum of positive squares in 2 ways, for example, as 9915379776 + 2742336 = 99576^2 + 1656^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3617062 + ... + 3619802.

Almost surely, 2^9918122112 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 9918122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805771750).

9918122112 is an abundant number, since it is smaller than the sum of its proper divisors (19693421388).

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

9918122112 is a wasteful number, since it uses less digits than its factorization.

9918122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3095 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 9918122112 is about 99589.7691130972. The cubic root of 9918122112 is about 2148.5385497728.

The spelling of 9918122112 in words is "nine billion, nine hundred eighteen million, one hundred twenty-two thousand, one hundred twelve".