12005217127755 has 48 divisors (see below), whose sum is σ = 21051080144640. Its totient is φ = 6328715367744.

The previous prime is 12005217127723. The next prime is 12005217127759. The reversal of 12005217127755 is 55772171250021.

12005217127755 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 521 + 7 + 1 + 2 + 77 + 55 = 666.

It is not a de Polignac number, because 12005217127755 - 2⁵ = 12005217127723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12005217127755.

It is not an unprimeable number, because it can be changed into a prime (12005217127759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2807647 + ... + 5647416.

It is an arithmetic number, because the mean of its divisors is an integer number (438564169680).

Almost surely, 2^{12005217127755} is an apocalyptic number.

12005217127755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12005217127755 is a deficient number, since it is larger than the sum of its proper divisors (9045863016885).

12005217127755 is a wasteful number, since it uses less digits than its factorization.

12005217127755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455440 (or 8455437 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 45.

Adding to 12005217127755 its reverse (55772171250021), we get a palindrome (67777388377776).

The spelling of 12005217127755 in words is "twelve trillion, five billion, two hundred seventeen million, one hundred twenty-seven thousand, seven hundred fifty-five".