1330005120 has 64 divisors (see below), whose sum is σ = 4239397440. Its totient is φ = 354667520.

The previous prime is 1330005091. The next prime is 1330005137. The reversal of 1330005120 is 215000331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1330005120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344436 + ... + 348275.

It is an arithmetic number, because the mean of its divisors is an integer number (66240585).

Almost surely, 2^1330005120 is an apocalyptic number.

1330005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330005120 is an abundant number, since it is smaller than the sum of its proper divisors (2909392320).

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

1330005120 is an equidigital number, since it uses as much as digits as its factorization.

1330005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692733 (or 692721 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1330005120 is about 36469.2352538410. The cubic root of 1330005120 is about 1099.7258600597.

Adding to 1330005120 its reverse (215000331), we get a palindrome (1545005451).

The spelling of 1330005120 in words is "one billion, three hundred thirty million, five thousand, one hundred twenty".