1312112320 has 112 divisors (see below), whose sum is σ = 3221906688. Its totient is φ = 508677120.

The previous prime is 1312112297. The next prime is 1312112339. The reversal of 1312112320 is 232112131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1312112294 and 1312112303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297635 + ... + 2298205.

It is an arithmetic number, because the mean of its divisors is an integer number (28767024).

Almost surely, 2^1312112320 is an apocalyptic number.

1312112320 is a gapful number since it is divisible by the number (10) 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 1312112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610953344).

1312112320 is an abundant number, since it is smaller than the sum of its proper divisors (1909794368).

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

1312112320 is a wasteful number, since it uses less digits than its factorization.

1312112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1312112320 is about 36223.0909779936. The cubic root of 1312112320 is about 1094.7719742307.

Adding to 1312112320 its reverse (232112131), we get a palindrome (1544224451).

The spelling of 1312112320 in words is "one billion, three hundred twelve million, one hundred twelve thousand, three hundred twenty".