1330221312 has 288 divisors, whose sum is σ = 4735539200. Its totient is φ = 359811072.

The previous prime is 1330221259. The next prime is 1330221317. The reversal of 1330221312 is 2131220331.

1330221312 is a `hidden beast` number, since 1 + 330 + 2 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1330221317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 918573 + ... + 920019.

Almost surely, 2^1330221312 is an apocalyptic number.

1330221312 is a gapful number since it is divisible by the number (12) 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 1330221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367769600).

1330221312 is an abundant number, since it is smaller than the sum of its proper divisors (3405317888).

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

1330221312 is a wasteful number, since it uses less digits than its factorization.

1330221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330221312 is about 36472.1991659401. The cubic root of 1330221312 is about 1099.7854435527.

Adding to 1330221312 its reverse (2131220331), we get a palindrome (3461441643).

The spelling of 1330221312 in words is "one billion, three hundred thirty million, two hundred twenty-one thousand, three hundred twelve".