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12221012221 = 11210129901
BaseRepresentation
bin10110110000110110…
…11101100011111101
31011112200222202010021
423120123131203331
5200012034342341
65340402412141
7611563614145
oct133033354375
934480882107
1012221012221
115201496400
122450961051
1311c9b97ba2
1483d10d925
154b7d7a9d1
hex2d86dd8fd

12221012221 has 18 divisors (see below), whose sum is σ = 13568700698. Its totient is φ = 10998900000.

The previous prime is 12221012137. The next prime is 12221012227.

It is a happy number.

12221012221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 11153683321 + 1067328900 = 105611^2 + 32670^2 .

It is not a de Polignac number, because 12221012221 - 29 = 12221011709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221012195 and 12221012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221012227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1229371 + ... + 1239271.

Almost surely, 212221012221 is an apocalyptic number.

12221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221012221 is a deficient number, since it is larger than the sum of its proper divisors (1347688477).

12221012221 is an equidigital number, since it uses as much as digits as its factorization.

12221012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 122210 and 12221, that added together give a palindrome (134431).

The spelling of 12221012221 in words is "twelve billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 101 121 1111 9901 10201 12221 108911 112211 1000001 1198021 1234321 11000011 101000101 121000121 1111001111 12221012221