12135011328 has 176 divisors, whose sum is σ = 39206109120. Its totient is φ = 3677184000.

The previous prime is 12135011309. The next prime is 12135011341. The reversal of 12135011328 is 82311053121.

12135011328 is a `hidden beast` number, since 1 + 21 + 3 + 501 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284178 + ... + 324078.

Almost surely, 2^12135011328 is an apocalyptic number.

12135011328 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 12135011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603054560).

12135011328 is an abundant number, since it is smaller than the sum of its proper divisors (27071097792).

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

12135011328 is a wasteful number, since it uses less digits than its factorization.

12135011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39941 (or 39917 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 12135011328 its reverse (82311053121), we get a palindrome (94446064449).

The spelling of 12135011328 in words is "twelve billion, one hundred thirty-five million, eleven thousand, three hundred twenty-eight".