1320980000 has 90 divisors (see below), whose sum is σ = 3262503321. Its totient is φ = 526336000.

The previous prime is 1320979993. The next prime is 1320980033. The reversal of 1320980000 is 890231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 178810384 + 1142169616 = 13372^2 + 33796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25700.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5139872 + ... + 5140128.

Almost surely, 2^1320980000 is an apocalyptic number.

1320980000 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 1320980000

1320980000 is an abundant number, since it is smaller than the sum of its proper divisors (1941523321).

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

1320980000 is an frugal number, since it uses more digits than its factorization.

1320980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1320980000 is about 36345.2885529885. The cubic root of 1320980000 is about 1097.2327135555.

The spelling of 1320980000 in words is "one billion, three hundred twenty million, nine hundred eighty thousand".