1282112 has 56 divisors (see below), whose sum is σ = 2901696. Its totient is φ = 557568.

The previous prime is 1282109. The next prime is 1282117. The reversal of 1282112 is 2112821.

It is a happy number.

It is a super-2 number, since 2×1282112² = 3287622361088, which contains 22 as substring.

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.

1282112 is a modest number, since divided by 2112 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19103 + ... + 19169.

It is an arithmetic number, because the mean of its divisors is an integer number (51816).

2^1282112 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 1282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450848).

1282112 is an abundant number, since it is smaller than the sum of its proper divisors (1619584).

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

1282112 is a wasteful number, since it uses less digits than its factorization.

1282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 1282112 is about 1132.3038461473. The cubic root of 1282112 is about 108.6363890370.

Adding to 1282112 its reverse (2112821), we get a palindrome (3394933).

The spelling of 1282112 in words is "one million, two hundred eighty-two thousand, one hundred twelve".