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12221020201221 = 331363295501299
BaseRepresentation
bin1011000111010110110110…
…0100010110000100000101
31121021022120220120122112000
42301311231210112010011
53100212122132414341
641554131552015513
72400640162512006
oct261655544260405
947238526518460
1012221020201221
1139919a6336327
121454622b31599
136a858b877740
143037016711ad
15162d6b9828b6
hexb1d6d916105

12221020201221 has 32 divisors (see below), whose sum is σ = 19501008240000. Its totient is φ = 7519438168704.

The previous prime is 12221020201219. The next prime is 12221020201237. The reversal of 12221020201221 is 12210202012221.

It is a happy number.

12221020201221 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 20 + 201 + 221 = 666.

It is not a de Polignac number, because 12221020201221 - 21 = 12221020201219 is a prime.

It is a super-3 number, since 3×122210202012213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221020201194 and 12221020201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221020201721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529171 + ... + 4972128.

It is an arithmetic number, because the mean of its divisors is an integer number (609406507500).

Almost surely, 212221020201221 is an apocalyptic number.

It is an amenable number.

12221020201221 is a deficient number, since it is larger than the sum of its proper divisors (7279988038779).

12221020201221 is a wasteful number, since it uses less digits than its factorization.

12221020201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507650 (or 5507644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221020201221 its reverse (12210202012221), we get a palindrome (24431222213442).

It can be divided in two parts, 1 and 2221020201221, that added together give a palindrome (2221020201222).

The spelling of 12221020201221 in words is "twelve trillion, two hundred twenty-one billion, twenty million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 6329 18987 56961 82277 170883 246831 740493 2221479 5501299 16503897 49511691 71516887 148535073 214550661 643651983 1930955949 34817721371 104453164113 313359492339 452630377823 940078477017 1357891133469 4073673400407 12221020201221