1233132320 has 96 divisors (see below), whose sum is σ = 3379356288. Its totient is φ = 416452608.

The previous prime is 1233132317. The next prime is 1233132323. The reversal of 1233132320 is 232313321.

It is an interprime number because it is at equal distance from previous prime (1233132317) and next prime (1233132323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1233132292 and 1233132301.

It is not an unprimeable number, because it can be changed into a prime (1233132323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66824 + ... + 83256.

It is an arithmetic number, because the mean of its divisors is an integer number (35201628).

Almost surely, 2^1233132320 is an apocalyptic number.

1233132320 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 1233132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689678144).

1233132320 is an abundant number, since it is smaller than the sum of its proper divisors (2146223968).

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

1233132320 is a wasteful number, since it uses less digits than its factorization.

1233132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1233132320 is about 35115.9838250333. The cubic root of 1233132320 is about 1072.3500100867.

Adding to 1233132320 its reverse (232313321), we get a palindrome (1465445641).

The spelling of 1233132320 in words is "one billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".