1320312320 has 160 divisors (see below), whose sum is σ = 3318644736. Its totient is φ = 503193600.

The previous prime is 1320312307. The next prime is 1320312341. The reversal of 1320312320 is 232130231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10078655 + ... + 10078785.

Almost surely, 2^1320312320 is an apocalyptic number.

1320312320 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 1320312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659322368).

1320312320 is an abundant number, since it is smaller than the sum of its proper divisors (1998332416).

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

1320312320 is a wasteful number, since it uses less digits than its factorization.

1320312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1320312320 is about 36336.1021574962. The cubic root of 1320312320 is about 1097.0478195621.

Adding to 1320312320 its reverse (232130231), we get a palindrome (1552442551).

The spelling of 1320312320 in words is "one billion, three hundred twenty million, three hundred twelve thousand, three hundred twenty".