11205121712011 has 8 divisors (see below), whose sum is σ = 11314070842464. Its totient is φ = 11096175688320.

The previous prime is 11205121711999. The next prime is 11205121712017. The reversal of 11205121712011 is 11021712150211.

11205121712011 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 11205121712011 - 2¹⁹ = 11205121187723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11205121712017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6832371 + ... + 8312131.

It is an arithmetic number, because the mean of its divisors is an integer number (1414258855308).

Almost surely, 2^{11205121712011} is an apocalyptic number.

11205121712011 is a deficient number, since it is larger than the sum of its proper divisors (108949130453).

11205121712011 is a wasteful number, since it uses less digits than its factorization.

11205121712011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553381.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 11205121712011 its reverse (11021712150211), we get a palindrome (22226833862222).

The spelling of 11205121712011 in words is "eleven trillion, two hundred five billion, one hundred twenty-one million, seven hundred twelve thousand, eleven".