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12220210111221 = 3271091779555863
BaseRepresentation
bin1011000111010011110101…
…0010000110001011110101
31121021020111110020210221200
42301310331102012023311
53100203442242024341
641553515333003113
72400611125042410
oct261647522061365
947236443223850
1012220210111221
113991620033762
121454437783499
136a848caa1048
14303665c3ab77
15162d207b5db6
hexb1d3d4862f5

12220210111221 has 24 divisors (see below), whose sum is σ = 20358119084160. Its totient is φ = 6918913191456.

The previous prime is 12220210111201. The next prime is 12220210111253. The reversal of 12220210111221 is 12211101202221.

12220210111221 is a `hidden beast` number, since 1 + 2 + 220 + 210 + 1 + 11 + 221 = 666.

It is not a de Polignac number, because 12220210111221 - 219 = 12220209586933 is a prime.

It is a super-2 number, since 2×122202101112212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220210111194 and 12220210111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220210111201) 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 23 ways as a sum of consecutive naturals, for example, 889771065 + ... + 889784798.

It is an arithmetic number, because the mean of its divisors is an integer number (848254961840).

Almost surely, 212220210111221 is an apocalyptic number.

It is an amenable number.

12220210111221 is a deficient number, since it is larger than the sum of its proper divisors (8137908972939).

12220210111221 is a wasteful number, since it uses less digits than its factorization.

12220210111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779555985 (or 1779555982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12220210111221 its reverse (12211101202221), we get a palindrome (24431311313442).

The spelling of 12220210111221 in words is "twelve trillion, two hundred twenty billion, two hundred ten million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 109 327 763 981 2289 6867 1779555863 5338667589 12456891041 16016002767 37370673123 112112019369 193971589067 581914767201 1357801123469 1745744301603 4073403370407 12220210111221