1233312320 has 56 divisors (see below), whose sum is σ = 2967176184. Its totient is φ = 488226816.

The previous prime is 1233312317. The next prime is 1233312337. The reversal of 1233312320 is 232133321.

It can be written as a sum of positive squares in 4 ways, for example, as 362826304 + 870486016 = 19048^2 + 29504^2 .

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 = 1233312292 and 1233312301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11174 + ... + 50906.

It is an arithmetic number, because the mean of its divisors is an integer number (52985289).

Almost surely, 2^1233312320 is an apocalyptic number.

1233312320 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 1233312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483588092).

1233312320 is an abundant number, since it is smaller than the sum of its proper divisors (1733863864).

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

1233312320 is an equidigital number, since it uses as much as digits as its factorization.

1233312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39847 (or 39837 counting only the distinct ones).

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

The square root of 1233312320 is about 35118.5466669679. The cubic root of 1233312320 is about 1072.4021844310.

Adding to 1233312320 its reverse (232133321), we get a palindrome (1465445641).

The spelling of 1233312320 in words is "one billion, two hundred thirty-three million, three hundred twelve thousand, three hundred twenty".