1312140160320 has 224 divisors, whose sum is σ = 4545690005376. Its totient is φ = 318030643200.

The previous prime is 1312140160313. The next prime is 1312140160333. The reversal of 1312140160320 is 230610412131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72400860 + ... + 72418980.

Almost surely, 2^{1312140160320} is an apocalyptic number.

1312140160320 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 1312140160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272845002688).

1312140160320 is an abundant number, since it is smaller than the sum of its proper divisors (3233549845056).

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

1312140160320 is a wasteful number, since it uses less digits than its factorization.

1312140160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25009 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1312140160320 its reverse (230610412131), we get a palindrome (1542750572451).

The spelling of 1312140160320 in words is "one trillion, three hundred twelve billion, one hundred forty million, one hundred sixty thousand, three hundred twenty".