11211601265205 has 16 divisors (see below), whose sum is σ = 19569340390464. Its totient is φ = 5435927886080.

The previous prime is 11211601265177. The next prime is 11211601265269. The reversal of 11211601265205 is 50256210611211.

It is a happy number.

It is not a de Polignac number, because 11211601265205 - 2⁷ = 11211601265077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 33974549124 + ... + 33974549453.

It is an arithmetic number, because the mean of its divisors is an integer number (1223083774404).

Almost surely, 2^{11211601265205} is an apocalyptic number.

11211601265205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11211601265205 is a deficient number, since it is larger than the sum of its proper divisors (8357739125259).

11211601265205 is a wasteful number, since it uses less digits than its factorization.

11211601265205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67949098596.

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 11211601265205 its reverse (50256210611211), we get a palindrome (61467811876416).

The spelling of 11211601265205 in words is "eleven trillion, two hundred eleven billion, six hundred one million, two hundred sixty-five thousand, two hundred five".