12355417511 has 8 divisors (see below), whose sum is σ = 12707023680. Its totient is φ = 12004741728.

The previous prime is 12355417493. The next prime is 12355417517. The reversal of 12355417511 is 11571455321.

12355417511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12355417511 - 2¹⁰ = 12355416487 is a prime.

It is a super-2 number, since 2×12355417511² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355417517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205616 + ... + 258821.

It is an arithmetic number, because the mean of its divisors is an integer number (1588377960).

Almost surely, 2^12355417511 is an apocalyptic number.

12355417511 is a deficient number, since it is larger than the sum of its proper divisors (351606169).

12355417511 is an equidigital number, since it uses as much as digits as its factorization.

12355417511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465193.

The product of its digits is 21000, while the sum is 35.

The spelling of 12355417511 in words is "twelve billion, three hundred fifty-five million, four hundred seventeen thousand, five hundred eleven".