12201719328 has 162 divisors, whose sum is σ = 36401494311. Its totient is φ = 3876656256.

The previous prime is 12201719323. The next prime is 12201719329. The reversal of 12201719328 is 82391710221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12201719328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6100859664 + 6100859664 = 78108^2 + 78108^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12201719292 and 12201719301.

It is not an unprimeable number, because it can be changed into a prime (12201719323) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 43115475 + ... + 43115757.

Almost surely, 2^12201719328 is an apocalyptic number.

12201719328 is a gapful number since it is divisible by the number (18) 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 12201719328

12201719328 is an abundant number, since it is smaller than the sum of its proper divisors (24199774983).

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

12201719328 is an equidigital number, since it uses as much as digits as its factorization.

12201719328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12201719328 in words is "twelve billion, two hundred one million, seven hundred nineteen thousand, three hundred twenty-eight".