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12220102111221 = 323721496656449
BaseRepresentation
bin1011000111010011011011…
…0110000110111111110101
31121021020012221000211210200
42301310312312012333311
53100203232120024341
641553500514111113
72400605344050534
oct261646666067765
947236187024720
1012220102111221
113991575078764
12145440757b499
136a84735b9114
1430365576631b
15162d16080db6
hexb1d36d86ff5

12220102111221 has 36 divisors (see below), whose sum is σ = 18262969042500. Its totient is φ = 7873353197568.

The previous prime is 12220102111211. The next prime is 12220102111271. The reversal of 12220102111221 is 12211120102221.

12220102111221 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 211 + 1 + 221 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4207318880625 + 8012783230596 = 2051175^2 + 2830686^2 .

It is not a de Polignac number, because 12220102111221 - 213 = 12220102103029 is a prime.

It is a super-2 number, since 2×122201021112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220102111194 and 12220102111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220102111211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1492396 + ... + 5164053.

It is an arithmetic number, because the mean of its divisors is an integer number (507304695625).

Almost surely, 212220102111221 is an apocalyptic number.

It is an amenable number.

12220102111221 is a deficient number, since it is larger than the sum of its proper divisors (6042866931279).

12220102111221 is a wasteful number, since it uses less digits than its factorization.

12220102111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656678 (or 6656638 counting only the distinct ones).

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

Adding to 12220102111221 its reverse (12211120102221), we get a palindrome (24431222213442).

The spelling of 12220102111221 in words is "twelve trillion, two hundred twenty billion, one hundred two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 149 333 447 1341 1369 4107 5513 12321 16539 49617 203981 611943 1835829 6656449 19969347 59908041 246288613 738865839 991810901 2216597517 2975432703 8926298109 9112678681 27338036043 36697003337 82014108129 110091010011 330273030033 1357789123469 4073367370407 12220102111221