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12222211222221 = 371131337909091
BaseRepresentation
bin1011000111011011010010…
…0011101110101011001101
31121021102122220200210011220
42301312310203232223031
53100222042033102341
641554450055433553
72401011534152310
oct261666443565315
947242586623156
1012222211222221
11399245766a000
1214548b59858b9
136a871b546cb0
143037b5904977
15162ddb2e7a66
hexb1db48eeacd

12222211222221 has 128 divisors (see below), whose sum is σ = 22657423552512. Its totient is φ = 5702394297600.

The previous prime is 12222211222211. The next prime is 12222211222327.

It is a happy number.

12222211222221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12222211222221 - 26 = 12222211222157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222211222191 and 12222211222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222211222211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12989886 + ... + 13898976.

It is an arithmetic number, because the mean of its divisors is an integer number (177011121504).

Almost surely, 212222211222221 is an apocalyptic number.

12222211222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222211222221 is a deficient number, since it is larger than the sum of its proper divisors (10435212330291).

12222211222221 is a wasteful number, since it uses less digits than its factorization.

12222211222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909184 (or 909162 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 1222221 and 1222221, that added together give a palindrome (2444442).

The spelling of 12222211222221 in words is "twelve trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1331 1443 1573 2541 2849 3003 3367 3993 4477 4719 5291 8547 9317 10101 11011 13431 15873 17303 27951 31339 33033 37037 49247 51909 58201 94017 111111 121121 147741 174603 344729 363363 407407 640211 909091 1034187 1222221 1920633 2727273 4481477 6363637 10000001 11818183 13444431 19090911 30000003 33636367 35454549 70000007 82727281 100909101 110000011 130000013 210000021 235454569 248181843 330000033 370000037 390000039 437272771 706363707 770000077 910000091 1110000111 1210000121 1311818313 1430000143 2310000231 2590000259 2730000273 3060909397 3630000363 4070000407 4290000429 4810000481 7770000777 8470000847 9182728191 10010001001 12210001221 14430001443 15730001573 25410002541 28490002849 30030003003 33670003367 44770004477 47190004719 52910005291 85470008547 101010010101 110110011011 134310013431 158730015873 313390031339 330330033033 370370037037 582010058201 940170094017 1111110111111 1746030174603 4074070407407 12222211222221