1233130320 has 120 divisors (see below), whose sum is σ = 4147866216. Its totient is φ = 328310784.

The previous prime is 1233130319. The next prime is 1233130331. The reversal of 1233130320 is 230313321.

1233130320 is a `hidden beast` number, since 12 + 331 + 3 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92852496 + 1140277824 = 9636^2 + 33768^2 .

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

It is a super-2 number, since 2×1233130320² = 3041220772206604800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1233130293 and 1233130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702564 + ... + 704316.

Almost surely, 2^1233130320 is an apocalyptic number.

1233130320 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 1233130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073933108).

1233130320 is an abundant number, since it is smaller than the sum of its proper divisors (2914735896).

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

1233130320 is a wasteful number, since it uses less digits than its factorization.

1233130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1233130320 is about 35115.9553479611. The cubic root of 1233130320 is about 1072.3494303432.

Adding to 1233130320 its reverse (230313321), we get a palindrome (1463443641).

The spelling of 1233130320 in words is "one billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".