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12222012100221 = 33711471131106909
BaseRepresentation
bin1011000111011010100010…
…1100001000111001111101
31121021102011001000100011000
42301312220230020321331
53100221140044201341
641554414223520513
72401003565512560
oct261665054107175
947242131010130
1012222012100221
113992365226770
12145485b159139
136a86b9209521
143037972b04d7
15162dc8ab38b6
hexb1da8b08e7d

12222012100221 has 128 divisors (see below), whose sum is σ = 23258924236800. Its totient is φ = 6159013217280.

The previous prime is 12222012100187. The next prime is 12222012100289. The reversal of 12222012100221 is 12200121022221.

It is a happy number.

12222012100221 is a `hidden beast` number, since 1 + 222 + 201 + 21 + 0 + 0 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12222012100221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222012100194 and 12222012100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222012100621) 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 127 ways as a sum of consecutive naturals, for example, 10488115 + ... + 11595023.

It is an arithmetic number, because the mean of its divisors is an integer number (181710345600).

Almost surely, 212222012100221 is an apocalyptic number.

12222012100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222012100221 is a deficient number, since it is larger than the sum of its proper divisors (11036912136579).

12222012100221 is a wasteful number, since it uses less digits than its factorization.

12222012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107096 (or 1107090 counting only the distinct ones).

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

Adding to 12222012100221 its reverse (12200121022221), we get a palindrome (24422133122442).

The spelling of 12222012100221 in words is "twelve trillion, two hundred twenty-two billion, twelve million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 47 63 77 99 113 141 189 231 297 329 339 423 517 693 791 987 1017 1243 1269 1551 2079 2373 2961 3051 3619 3729 4653 5311 7119 8701 8883 10857 11187 13959 15933 21357 26103 32571 33561 37177 47799 58421 78309 97713 111531 143397 175263 234927 334593 408947 525789 1003779 1106909 1226841 1577367 3320727 3680523 7748363 9962181 11041569 12175999 23245089 29886543 36527997 52024723 69735267 85231993 109583991 125080717 156074169 209205801 255695979 328751973 364173061 375242151 468222507 572271953 767087937 875565019 1092519183 1125726453 1375887887 1404667521 1716815859 2301263811 2626695057 3277557549 3377179359 4005903671 4127663661 5150447577 5878793699 7880085171 9631215209 9832672647 12017711013 12382990983 15451342731 17636381097 23640255513 28893645627 36053133039 37148972949 41151555893 52909143291 64666730689 86680936881 108159399117 123454667679 158727429873 194000192067 260042810643 370364003037 452667114823 582000576201 1111092009111 1358001344469 1746001728603 4074004033407 12222012100221