1330021200 has 120 divisors (see below), whose sum is σ = 4407530400. Its totient is φ = 342433280.

The previous prime is 1330021193. The next prime is 1330021213. The reversal of 1330021200 is 21200331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15691 + ... + 53909.

It is an arithmetic number, because the mean of its divisors is an integer number (36729420).

Almost surely, 2^1330021200 is an apocalyptic number.

1330021200 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 1330021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203765200).

1330021200 is an abundant number, since it is smaller than the sum of its proper divisors (3077509200).

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

1330021200 is a wasteful number, since it uses less digits than its factorization.

1330021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38269 (or 38258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1330021200 is about 36469.4557129662. The cubic root of 1330021200 is about 1099.7302920027.

Adding to 1330021200 its reverse (21200331), we get a palindrome (1351221531).

The spelling of 1330021200 in words is "one billion, three hundred thirty million, twenty-one thousand, two hundred".