12245454221 has 90 divisors (see below), whose sum is σ = 17135108010. Its totient is φ = 8720712000.

The previous prime is 12245454209. The next prime is 12245454223.

12245454221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1035938596 + 11209515625 = 32186^2 + 105875^2 .

It is not a de Polignac number, because 12245454221 - 2¹⁰ = 12245453197 is a prime.

It is a super-2 number, since 2×12245454221² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245454223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 121242071 + ... + 121242171.

It is an arithmetic number, because the mean of its divisors is an integer number (190390089).

Almost surely, 2^12245454221 is an apocalyptic number.

12245454221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12245454221 is a deficient number, since it is larger than the sum of its proper divisors (4889653789).

12245454221 is an equidigital number, since it uses as much as digits as its factorization.

12245454221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The spelling of 12245454221 in words is "twelve billion, two hundred forty-five million, four hundred fifty-four thousand, two hundred twenty-one".