12005616512 has 128 divisors (see below), whose sum is σ = 26755660800. Its totient is φ = 5339013120.

The previous prime is 12005616479. The next prime is 12005616523. The reversal of 12005616512 is 21561650021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12005616512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2898539 + ... + 2902677.

It is an arithmetic number, because the mean of its divisors is an integer number (209028600).

Almost surely, 2^12005616512 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 12005616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377830400).

12005616512 is an abundant number, since it is smaller than the sum of its proper divisors (14750044288).

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

12005616512 is a wasteful number, since it uses less digits than its factorization.

12005616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 12005616512 in words is "twelve billion, five million, six hundred sixteen thousand, five hundred twelve".