12782112 has 96 divisors (see below), whose sum is σ = 40061952. Its totient is φ = 3489024.

The previous prime is 12782101. The next prime is 12782129. The reversal of 12782112 is 21128721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15043 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 2^12782112 is an apocalyptic number.

12782112 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 12782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976).

12782112 is an abundant number, since it is smaller than the sum of its proper divisors (27279840).

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

12782112 is a wasteful number, since it uses less digits than its factorization.

12782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 12782112 is about 3575.2079659790. The cubic root of 12782112 is about 233.8123998621.

The spelling of 12782112 in words is "twelve million, seven hundred eighty-two thousand, one hundred twelve".