1233512320 has 128 divisors (see below), whose sum is σ = 3086438400. Its totient is φ = 470845440.

The previous prime is 1233512263. The next prime is 1233512339. The reversal of 1233512320 is 232153321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1233512291 and 1233512300.

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 15 ways as a sum of consecutive naturals, for example, 1566967 + ... + 1567753.

It is an arithmetic number, because the mean of its divisors is an integer number (24112800).

Almost surely, 2^1233512320 is an apocalyptic number.

1233512320 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 1233512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543219200).

1233512320 is an abundant number, since it is smaller than the sum of its proper divisors (1852926080).

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

1233512320 is an equidigital number, since it uses as much as digits as its factorization.

1233512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1233512320 is about 35121.3940497811. The cubic root of 1233512320 is about 1072.4601499711.

Adding to 1233512320 its reverse (232153321), we get a palindrome (1465665641).

The spelling of 1233512320 in words is "one billion, two hundred thirty-three million, five hundred twelve thousand, three hundred twenty".