12133000320 has 128 divisors (see below), whose sum is σ = 44198835840. Its totient is φ = 2773254144.

The previous prime is 12133000291. The next prime is 12133000339. The reversal of 12133000320 is 2300033121.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12133000320.

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, 437937 + ... + 464816.

It is an arithmetic number, because the mean of its divisors is an integer number (345303405).

Almost surely, 2^12133000320 is an apocalyptic number.

12133000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133000320 is an abundant number, since it is smaller than the sum of its proper divisors (32065835520).

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

12133000320 is an equidigital number, since it uses as much as digits as its factorization.

12133000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902782 (or 902770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12133000320 its reverse (2300033121), we get a palindrome (14433033441).

The spelling of 12133000320 in words is "twelve billion, one hundred thirty-three million, three hundred twenty", and thus it is an aban number.