11582221224 has 64 divisors (see below), whose sum is σ = 33109165440. Its totient is φ = 3307495680.

The previous prime is 11582221201. The next prime is 11582221247. The reversal of 11582221224 is 42212228511.

11582221224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11582221201) and next prime (11582221247).

It is a junction number, because it is equal to n+sod(n) for n = 11582221191 and 11582221200.

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, 328114 + ... + 361694.

It is an arithmetic number, because the mean of its divisors is an integer number (517330710).

Almost surely, 2^11582221224 is an apocalyptic number.

11582221224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11582221224 is an abundant number, since it is smaller than the sum of its proper divisors (21526944216).

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

11582221224 is a wasteful number, since it uses less digits than its factorization.

11582221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35650 (or 35646 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

Adding to 11582221224 its reverse (42212228511), we get a palindrome (53794449735).

The spelling of 11582221224 in words is "eleven billion, five hundred eighty-two million, two hundred twenty-one thousand, two hundred twenty-four".