13233670120 has 192 divisors, whose sum is σ = 34149548160. Its totient is φ = 4573094400.

The previous prime is 13233670097. The next prime is 13233670171. The reversal of 13233670120 is 2107633231.

13233670120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123679107 + ... + 123679213.

It is an arithmetic number, because the mean of its divisors is an integer number (177862230).

Almost surely, 2^13233670120 is an apocalyptic number.

13233670120 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 13233670120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074774080).

13233670120 is an abundant number, since it is smaller than the sum of its proper divisors (20915878040).

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

13233670120 is a wasteful number, since it uses less digits than its factorization.

13233670120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 13233670120 in words is "thirteen billion, two hundred thirty-three million, six hundred seventy thousand, one hundred twenty".