981111312 has 160 divisors (see below), whose sum is σ = 2957112320. Its totient is φ = 311040000.

The previous prime is 981111311. The next prime is 981111317. The reversal of 981111312 is 213111189.

It is a super-3 number, since 3×981111312³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 not an unprimeable number, because it can be changed into a prime (981111311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 816312 + ... + 817512.

It is an arithmetic number, because the mean of its divisors is an integer number (18481952).

Almost surely, 2^981111312 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 981111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478556160).

981111312 is an abundant number, since it is smaller than the sum of its proper divisors (1976001008).

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

981111312 is a wasteful number, since it uses less digits than its factorization.

981111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

The square root of 981111312 is about 31322.6964356519. The cubic root of 981111312 is about 993.6637068536.

The spelling of 981111312 in words is "nine hundred eighty-one million, one hundred eleven thousand, three hundred twelve".