1312128 has 96 divisors (see below), whose sum is σ = 4057560. Its totient is φ = 405504.

The previous prime is 1312093. The next prime is 1312133. The reversal of 1312128 is 8212131.

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 (18).

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 self number, because there is not a number n which added to its sum of digits gives 1312128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19551 + ... + 19617.

2^1312128 is an apocalyptic number.

1312128 is a gapful number since it is divisible by the number (18) 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 1312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028780).

1312128 is an abundant number, since it is smaller than the sum of its proper divisors (2745432).

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

1312128 is a wasteful number, since it uses less digits than its factorization.

1312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1312128 is about 1145.4815581230. The cubic root of 1312128 is about 109.4776335127.

Adding to 1312128 its reverse (8212131), we get a palindrome (9524259).

The spelling of 1312128 in words is "one million, three hundred twelve thousand, one hundred twenty-eight".