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12220000201101 = 37116710138320411
BaseRepresentation
bin1011000111010011000011…
…0001010110100110001101
31121021012221211021021101210
42301310300301112212031
53100203030022413401
641553442433525033
72400602665611510
oct261646061264615
947235854237353
1012220000201101
1139915225a2120
121454399413779
136a8458457084
14303645dd8d77
15162d0c1504d6
hexb1d30c5698d

12220000201101 has 128 divisors (see below), whose sum is σ = 20876471304192. Its totient is φ = 6174923040000.

The previous prime is 12220000201051. The next prime is 12220000201103. The reversal of 12220000201101 is 10110200002221.

It is not a de Polignac number, because 12220000201101 - 215 = 12220000168333 is a prime.

It is a super-2 number, since 2×122200002011012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220000201103) 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, 598686586 + ... + 598706996.

It is an arithmetic number, because the mean of its divisors is an integer number (163097432064).

Almost surely, 212220000201101 is an apocalyptic number.

12220000201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220000201101 is a deficient number, since it is larger than the sum of its proper divisors (8656471103091).

12220000201101 is a wasteful number, since it uses less digits than its factorization.

12220000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20983.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220000201101 its reverse (10110200002221), we get a palindrome (22330200203322).

The spelling of 12220000201101 in words is "twelve trillion, two hundred twenty billion, two hundred one thousand, one hundred one".

Divisors: 1 3 7 11 21 33 67 77 101 201 231 303 383 469 707 737 1111 1149 1407 2121 2211 2681 3333 4213 5159 6767 7777 8043 12639 15477 20301 20411 23331 25661 29491 38683 47369 61233 74437 76983 88473 116049 142107 142877 179627 223311 224521 270781 282271 425513 428631 521059 538881 673563 812343 846813 1276539 1367537 1563177 1571647 1975897 2061511 2591761 2978591 4102611 4714941 5927691 6184533 7775283 7817413 8935773 9572759 14430577 15042907 18142327 22676621 23452239 28509371 28718277 43291731 45128721 54426981 54721891 68029863 85528113 85991543 105300349 138121237 158736347 164165673 199565597 257974629 315901047 414363711 476209041 523766671 598696791 601940801 789558713 966848659 1519333607 1571300013 1805822403 2368676139 2900545977 3666366697 4558000821 5526910991 5761433381 8685145843 10635335249 10999100091 16580732973 17284300143 26055437529 31906005747 40330033667 52900433771 60796020901 120990101001 158701301313 182388062703 370303036397 581904771481 1110909109191 1745714314443 4073333400367 12220000201101