12006232128 has 280 divisors, whose sum is σ = 39008084544. Its totient is φ = 3621196800.

The previous prime is 12006232127. The next prime is 12006232151. The reversal of 12006232128 is 82123260021.

12006232128 is a `hidden beast` number, since 1 + 20 + 0 + 623 + 2 + 12 + 8 = 666.

It is a super-2 number, since 2×12006232128² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12006232127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17734126 + ... + 17734802.

Almost surely, 2^12006232128 is an apocalyptic number.

12006232128 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 12006232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504042272).

12006232128 is an abundant number, since it is smaller than the sum of its proper divisors (27001852416).

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

12006232128 is a wasteful number, since it uses less digits than its factorization.

12006232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12006232128 its reverse (82123260021), we get a palindrome (94129492149).

The spelling of 12006232128 in words is "twelve billion, six million, two hundred thirty-two thousand, one hundred twenty-eight".