12064564224 has 352 divisors, whose sum is σ = 37966118400. Its totient is φ = 3777822720.

The previous prime is 12064564217. The next prime is 12064564277. The reversal of 12064564224 is 42246546021.

12064564224 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 5 + 642 + 2 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 32873289 + ... + 32873655.

Almost surely, 2^12064564224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12064564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983059200).

12064564224 is an abundant number, since it is smaller than the sum of its proper divisors (25901554176).

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

12064564224 is a wasteful number, since it uses less digits than its factorization.

12064564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12064564224 in words is "twelve billion, sixty-four million, five hundred sixty-four thousand, two hundred twenty-four".