1320412320 has 384 divisors, whose sum is σ = 4833561600. Its totient is φ = 336420864.

The previous prime is 1320412319. The next prime is 1320412333. The reversal of 1320412320 is 232140231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320412293 and 1320412302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16714041 + ... + 16714119.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2^1320412320 is an apocalyptic number.

1320412320 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 1320412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416780800).

1320412320 is an abundant number, since it is smaller than the sum of its proper divisors (3513149280).

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

1320412320 is a wasteful number, since it uses less digits than its factorization.

1320412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320412320 is about 36337.4781733681. The cubic root of 1320412320 is about 1097.0755155375.

Adding to 1320412320 its reverse (232140231), we get a palindrome (1552552551).

The spelling of 1320412320 in words is "one billion, three hundred twenty million, four hundred twelve thousand, three hundred twenty".