162111312 has 120 divisors (see below), whose sum is σ = 504530208. Its totient is φ = 48172800.

The previous prime is 162111311. The next prime is 162111331. The reversal of 162111312 is 213111261.

162111312 is a `hidden beast` number, since 1 + 621 + 11 + 31 + 2 = 666.

162111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162111312² = 52560154956722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162111311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82987 + ... + 84917.

Almost surely, 2^162111312 is an apocalyptic number.

162111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252265104).

162111312 is an abundant number, since it is smaller than the sum of its proper divisors (342418896).

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

162111312 is a wasteful number, since it uses less digits than its factorization.

162111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2000 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 162111312 is about 12732.2940588097. The cubic root of 162111312 is about 545.2610056388.

Adding to 162111312 its reverse (213111261), we get a palindrome (375222573).

The spelling of 162111312 in words is "one hundred sixty-two million, one hundred eleven thousand, three hundred twelve".