12066783008511 has 64 divisors (see below), whose sum is σ = 20369745801216. Its totient is φ = 6171475622400.

The previous prime is 12066783008443. The next prime is 12066783008551. The reversal of 12066783008511 is 11580038766021.

It is not a de Polignac number, because 12066783008511 - 2¹¹ = 12066783006463 is a prime.

It is a super-3 number, since 3×12066783008511³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066783008551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27813591 + ... + 28244103.

It is an arithmetic number, because the mean of its divisors is an integer number (318277278144).

Almost surely, 2^{12066783008511} is an apocalyptic number.

12066783008511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12066783008511 is a deficient number, since it is larger than the sum of its proper divisors (8302962792705).

12066783008511 is a wasteful number, since it uses less digits than its factorization.

12066783008511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432412.

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 12066783008511 in words is "twelve trillion, sixty-six billion, seven hundred eighty-three million, eight thousand, five hundred eleven".