1320233000 has 64 divisors (see below), whose sum is σ = 3094837200. Its totient is φ = 527155200.

The previous prime is 1320232967. The next prime is 1320233023. The reversal of 1320233000 is 3320231.

It can be written as a sum of positive squares in 8 ways, for example, as 232684516 + 1087548484 = 15254^2 + 32978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936296 + ... + 937704.

Almost surely, 2^1320233000 is an apocalyptic number.

1320233000 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 1320233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547418600).

1320233000 is an abundant number, since it is smaller than the sum of its proper divisors (1774604200).

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

1320233000 is a wasteful number, since it uses less digits than its factorization.

1320233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1320233000 is about 36335.0106646468. The cubic root of 1320233000 is about 1097.0258501199.

Adding to 1320233000 its reverse (3320231), we get a palindrome (1323553231).

The spelling of 1320233000 in words is "one billion, three hundred twenty million, two hundred thirty-three thousand".