12013360128 has 924 divisors, whose sum is σ = 47611254880. Its totient is φ = 2956124160.

The previous prime is 12013360111. The next prime is 12013360153. The reversal of 12013360128 is 82106331021.

It is a happy number.

12013360128 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 33 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (924).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 632282103 + ... + 632282121.

Almost surely, 2^12013360128 is an apocalyptic number.

12013360128 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 12013360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805627440).

12013360128 is an abundant number, since it is smaller than the sum of its proper divisors (35597894752).

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

12013360128 is an equidigital number, since it uses as much as digits as its factorization.

12013360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12013360128 its reverse (82106331021), we get a palindrome (94119691149).

The spelling of 12013360128 in words is "twelve billion, thirteen million, three hundred sixty thousand, one hundred twenty-eight".