12059332128 has 144 divisors (see below), whose sum is σ = 34741115136. Its totient is φ = 3967603200.

The previous prime is 12059332121. The next prime is 12059332151. The reversal of 12059332128 is 82123395021.

12059332128 is a `hidden beast` number, since 1 + 20 + 593 + 3 + 21 + 28 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12059332092 and 12059332101.

It is not an unprimeable number, because it can be changed into a prime (12059332121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17656075 + ... + 17656757.

It is an arithmetic number, because the mean of its divisors is an integer number (241257744).

Almost surely, 2^12059332128 is an apocalyptic number.

12059332128 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 12059332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370557568).

12059332128 is an abundant number, since it is smaller than the sum of its proper divisors (22681783008).

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

12059332128 is a wasteful number, since it uses less digits than its factorization.

12059332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12059332128 in words is "twelve billion, fifty-nine million, three hundred thirty-two thousand, one hundred twenty-eight".