11211232704 has 112 divisors (see below), whose sum is σ = 34236696576. Its totient is φ = 3171456000.

The previous prime is 11211232661. The next prime is 11211232717. The reversal of 11211232704 is 40723211211.

11211232704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94449 + ... + 177039.

Almost surely, 2^11211232704 is an apocalyptic number.

11211232704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118348288).

11211232704 is an abundant number, since it is smaller than the sum of its proper divisors (23025463872).

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

11211232704 is a wasteful number, since it uses less digits than its factorization.

11211232704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82714 (or 82704 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 11211232704 its reverse (40723211211), we get a palindrome (51934443915).

The spelling of 11211232704 in words is "eleven billion, two hundred eleven million, two hundred thirty-two thousand, seven hundred four".