31412112 has 80 divisors (see below), whose sum is σ = 87077760. Its totient is φ = 9732096.

The previous prime is 31412099. The next prime is 31412137. The reversal of 31412112 is 21121413.

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 junction number, because it is equal to n+sod(n) for n = 31412091 and 31412100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40464 + ... + 41232.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^31412112 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 31412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43538880).

31412112 is an abundant number, since it is smaller than the sum of its proper divisors (55665648).

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

31412112 is a wasteful number, since it uses less digits than its factorization.

31412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 31412112 is about 5604.6509257937. The cubic root of 31412112 is about 315.5239855417.

Adding to 31412112 its reverse (21121413), we get a palindrome (52533525).

It can be divided in two parts, 3141 and 2112, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 31412112 in words is "thirty-one million, four hundred twelve thousand, one hundred twelve".