13412112 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3793536.

The previous prime is 13412107. The next prime is 13412117. The reversal of 13412112 is 21121431.

It is an interprime number because it is at equal distance from previous prime (13412107) and next prime (13412117).

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 nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13412091 and 13412100.

It is not an unprimeable number, because it can be changed into a prime (13412117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60033 + ... + 60255.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^13412112 is an apocalyptic number.

13412112 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 13412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

13412112 is an abundant number, since it is smaller than the sum of its proper divisors (26585328).

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

13412112 is a wasteful number, since it uses less digits than its factorization.

13412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

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

The square root of 13412112 is about 3662.2550430029. The cubic root of 13412112 is about 237.5923157283.

Adding to 13412112 its reverse (21121431), we get a palindrome (34533543).

It can be divided in two parts, 134 and 12112, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 13412112 in words is "thirteen million, four hundred twelve thousand, one hundred twelve".