1312512 has 36 divisors (see below), whose sum is σ = 3495240. Its totient is φ = 437248.

The previous prime is 1312471. The next prime is 1312513. The reversal of 1312512 is 2152131.

It is a junction number, because it is equal to n+sod(n) for n = 1312491 and 1312500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312513) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 87 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

2^1312512 is an apocalyptic number.

1312512 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 1312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747620).

1312512 is an abundant number, since it is smaller than the sum of its proper divisors (2182728).

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

1312512 is an equidigital number, since it uses as much as digits as its factorization.

1312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 1312512 is about 1145.6491609564. The cubic root of 1312512 is about 109.4883121738.

Adding to 1312512 its reverse (2152131), we get a palindrome (3464643).

The spelling of 1312512 in words is "one million, three hundred twelve thousand, five hundred twelve".