1268112 has 40 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 407680.

The previous prime is 1268093. The next prime is 1268119. The reversal of 1268112 is 2118621.

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

It is not an unprimeable number, because it can be changed into a prime (1268119) 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, 937 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2^1268112 is an apocalyptic number.

1268112 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 1268112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320).

1268112 is an abundant number, since it is smaller than the sum of its proper divisors (2124528).

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

1268112 is a wasteful number, since it uses less digits than its factorization.

1268112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1268112 is about 1126.1047908610. The cubic root of 1268112 is about 108.2395232604.

The spelling of 1268112 in words is "one million, two hundred sixty-eight thousand, one hundred twelve".