11247211305 has 48 divisors (see below), whose sum is σ = 22518497664. Its totient is φ = 5132413440.

The previous prime is 11247211247. The next prime is 11247211331. The reversal of 11247211305 is 50311274211.

11247211305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11247211305 - 2¹⁴ = 11247194921 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 659869 + ... + 676698.

It is an arithmetic number, because the mean of its divisors is an integer number (469135368).

Almost surely, 2^11247211305 is an apocalyptic number.

11247211305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11247211305 is an abundant number, since it is smaller than the sum of its proper divisors (11271286359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11247211305 is a wasteful number, since it uses less digits than its factorization.

11247211305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336606 (or 1336603 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 11247211305 its reverse (50311274211), we get a palindrome (61558485516).

The spelling of 11247211305 in words is "eleven billion, two hundred forty-seven million, two hundred eleven thousand, three hundred five".