1205111400011 has 16 divisors (see below), whose sum is σ = 1281784984704. Its totient is φ = 1129081839744.

The previous prime is 1205111399969. The next prime is 1205111400047. The reversal of 1205111400011 is 1100041115021.

It is a cyclic number.

It is not a de Polignac number, because 1205111400011 - 2²² = 1205107205707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205111400061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41365496 + ... + 41394618.

It is an arithmetic number, because the mean of its divisors is an integer number (80111561544).

Almost surely, 2^{1205111400011} is an apocalyptic number.

1205111400011 is a deficient number, since it is larger than the sum of its proper divisors (76673584693).

1205111400011 is a wasteful number, since it uses less digits than its factorization.

1205111400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40090.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 1205111400011 its reverse (1100041115021), we get a palindrome (2305152515032).

The spelling of 1205111400011 in words is "one trillion, two hundred five billion, one hundred eleven million, four hundred thousand, eleven".