13382112 has 24 divisors (see below), whose sum is σ = 35128296. Its totient is φ = 4460672.

The previous prime is 13382087. The next prime is 13382167. The reversal of 13382112 is 21128331.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69603 + ... + 69794.

It is an arithmetic number, because the mean of its divisors is an integer number (1463679).

Almost surely, 2^13382112 is an apocalyptic number.

13382112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13382112 is an abundant number, since it is smaller than the sum of its proper divisors (21746184).

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

13382112 is a wasteful number, since it uses less digits than its factorization.

13382112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139410 (or 139402 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 13382112 is about 3658.1569129823. The cubic root of 13382112 is about 237.4150359056.

The spelling of 13382112 in words is "thirteen million, three hundred eighty-two thousand, one hundred twelve".