12009172024512 has 896 divisors, whose sum is σ = 40012762890240. Its totient is φ = 3506872320000.

The previous prime is 12009172024501. The next prime is 12009172024517. The reversal of 12009172024512 is 21542027190021.

It is a happy number.

12009172024512 is a `hidden beast` number, since 12 + 0 + 0 + 91 + 7 + 20 + 24 + 512 = 666.

12009172024512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12009172024517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7947829837 + ... + 7947831347.

It is an arithmetic number, because the mean of its divisors is an integer number (44657101440).

Almost surely, 2^{12009172024512} is an apocalyptic number.

12009172024512 is a gapful number since it is divisible by the number (12) 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 12009172024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006381445120).

12009172024512 is an abundant number, since it is smaller than the sum of its proper divisors (28003590865728).

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

12009172024512 is a wasteful number, since it uses less digits than its factorization.

12009172024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12009172024512 in words is "twelve trillion, nine billion, one hundred seventy-two million, twenty-four thousand, five hundred twelve".