11221114224321 has 64 divisors (see below), whose sum is σ = 17354971054080. Its totient is φ = 7157636928000.

The previous prime is 11221114224301. The next prime is 11221114224347. The reversal of 11221114224321 is 12342241112211.

11221114224321 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 114 + 224 + 321 = 666.

It is not a de Polignac number, because 11221114224321 - 2²² = 11221110030017 is a prime.

It is a super-2 number, since 2×11221114224321² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11221114224301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29525521 + ... + 29903153.

It is an arithmetic number, because the mean of its divisors is an integer number (271171422720).

Almost surely, 2^{11221114224321} is an apocalyptic number.

It is an amenable number.

11221114224321 is a deficient number, since it is larger than the sum of its proper divisors (6133856829759).

11221114224321 is a wasteful number, since it uses less digits than its factorization.

11221114224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378075 (or 378069 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 11221114224321 its reverse (12342241112211), we get a palindrome (23563355336532).

The spelling of 11221114224321 in words is "eleven trillion, two hundred twenty-one billion, one hundred fourteen million, two hundred twenty-four thousand, three hundred twenty-one".