112131312 has 80 divisors (see below), whose sum is σ = 313253760. Its totient is φ = 34442496.

The previous prime is 112131307. The next prime is 112131317. The reversal of 112131312 is 213131211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112131307) and next prime (112131317).

It is a super-2 number, since 2×112131312² = 25146862261682688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112131291 and 112131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32083 + ... + 35405.

It is an arithmetic number, because the mean of its divisors is an integer number (3915672).

Almost surely, 2^112131312 is an apocalyptic number.

112131312 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 112131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156626880).

112131312 is an abundant number, since it is smaller than the sum of its proper divisors (201122448).

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

112131312 is a wasteful number, since it uses less digits than its factorization.

112131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3384 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 112131312 is about 10589.2073357735. The cubic root of 112131312 is about 482.2167605719.

Adding to 112131312 its reverse (213131211), we get a palindrome (325262523).

It can be divided in two parts, 11 and 2131312, that multiplied together give a palindrome (23444432).

The spelling of 112131312 in words is "one hundred twelve million, one hundred thirty-one thousand, three hundred twelve".