12006611660021 has 16 divisors (see below), whose sum is σ = 13276753675200. Its totient is φ = 10766824252800.

The previous prime is 12006611659997. The next prime is 12006611660039.

12006611660021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12006611660021 - 2⁴² = 7608565148917 is a prime.

It is a super-3 number, since 3×12006611660021³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12006611660021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006611660051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14153351 + ... + 14977668.

It is an arithmetic number, because the mean of its divisors is an integer number (829797104700).

Almost surely, 2^{12006611660021} is an apocalyptic number.

12006611660021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12006611660021 is a deficient number, since it is larger than the sum of its proper divisors (1270142015179).

12006611660021 is a wasteful number, since it uses less digits than its factorization.

12006611660021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29131540.

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 1200661 and 1660021, that added together give a palindrome (2860682).

The spelling of 12006611660021 in words is "twelve trillion, six billion, six hundred eleven million, six hundred sixty thousand, twenty-one".