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12222311322221 = 7111312210101221
BaseRepresentation
bin1011000111011011101010…
…0001100101001001101101
31121021102220220001101120022
42301312322201211021231
53100222243144302341
641554504033131525
72401014161042120
oct261667241451155
947242826041508
1012222311322221
1139924a9119680
1214549233b9ba5
136a87361c4170
143037c4d203b7
15162de4ebbe4b
hexb1dba86526d

12222311322221 has 16 divisors (see below), whose sum is σ = 16410376042368. Its totient is φ = 8791272878400.

The previous prime is 12222311322203. The next prime is 12222311322229.

12222311322221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12222311322221 - 226 = 12222244213357 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222311322229) 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 15 ways as a sum of consecutive naturals, for example, 6105049610 + ... + 6105051611.

It is an arithmetic number, because the mean of its divisors is an integer number (1025648502648).

Almost surely, 212222311322221 is an apocalyptic number.

12222311322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222311322221 is a deficient number, since it is larger than the sum of its proper divisors (4188064720147).

12222311322221 is a wasteful number, since it uses less digits than its factorization.

12222311322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210101252.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 1222231 and 1322221, that added together give a palindrome (2544452).

The spelling of 12222311322221 in words is "twelve trillion, two hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 12210101221 85470708547 134311113431 158731315873 940177794017 1111119211111 1746044474603 12222311322221