1330512000 has 256 divisors, whose sum is σ = 4502459520. Its totient is φ = 347443200.

The previous prime is 1330511999. The next prime is 1330512011. The reversal of 1330512000 is 2150331.

It is a happy number.

It is a super-3 number, since 3×1330512000³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543739 + ... + 2544261.

Almost surely, 2^1330512000 is an apocalyptic number.

1330512000 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 1330512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251229760).

1330512000 is an abundant number, since it is smaller than the sum of its proper divisors (3171947520).

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

1330512000 is an equidigital number, since it uses as much as digits as its factorization.

1330512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

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

The square root of 1330512000 is about 36476.1840109406. The cubic root of 1330512000 is about 1099.8655483051.

Adding to 1330512000 its reverse (2150331), we get a palindrome (1332662331).

The spelling of 1330512000 in words is "one billion, three hundred thirty million, five hundred twelve thousand".