12133300320 has 144 divisors (see below), whose sum is σ = 41929392960. Its totient is φ = 3194560512.

The previous prime is 12133300261. The next prime is 12133300337. The reversal of 12133300320 is 2300333121.

12133300320 is a `hidden beast` number, since 1 + 2 + 13 + 330 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12133300293 and 12133300302.

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, 60432 + ... + 167088.

It is an arithmetic number, because the mean of its divisors is an integer number (291176340).

Almost surely, 2^12133300320 is an apocalyptic number.

12133300320 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 12133300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20964696480).

12133300320 is an abundant number, since it is smaller than the sum of its proper divisors (29796092640).

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

12133300320 is a wasteful number, since it uses less digits than its factorization.

12133300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106757 (or 106746 counting only the distinct ones).

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

Adding to 12133300320 its reverse (2300333121), we get a palindrome (14433633441).

The spelling of 12133300320 in words is "twelve billion, one hundred thirty-three million, three hundred thousand, three hundred twenty".