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12200220222102 = 23411291731364633
BaseRepresentation
bin1011000110001001010111…
…0010101110001010010110
31121012022220022202020020000
42301202111302232022112
53044342022334101402
641540412004152130
72366302554556323
oct261422562561226
947168808666200
1012200220222102
1139840a2290140
121450599098646
136a66255265a3
143026cb027b4a
15162550895c1c
hexb1895cae296

12200220222102 has 160 divisors (see below), whose sum is σ = 31029484574880. Its totient is φ = 3548916564480.

The previous prime is 12200220222101. The next prime is 12200220222107. The reversal of 12200220222102 is 20122202200221.

12200220222102 is a `hidden beast` number, since 1 + 220 + 0 + 220 + 2 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200220222101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8257978 + ... + 9622610.

It is an arithmetic number, because the mean of its divisors is an integer number (193934278593).

Almost surely, 212200220222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200220222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514742287440).

12200220222102 is an abundant number, since it is smaller than the sum of its proper divisors (18829264352778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200220222102 is a wasteful number, since it uses less digits than its factorization.

12200220222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364860 (or 1364851 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200220222102 its reverse (20122202200221), we get a palindrome (32322422422323).

The spelling of 12200220222102 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 173 174 198 261 297 319 346 519 522 594 638 783 891 957 1038 1557 1566 1782 1903 1914 2349 2871 3114 3806 4671 4698 5017 5709 5742 8613 9342 10034 11418 14013 15051 17127 17226 25839 28026 30102 34254 45153 51381 51678 55187 90306 102762 110374 135459 154143 165561 270918 308286 331122 406377 496683 812754 993366 1364633 1490049 2729266 2980098 4093899 4470147 8187798 8940294 12281697 15010963 24563394 30021926 36845091 39574357 45032889 73690182 79148714 90065778 110535273 118723071 135098667 221070546 236081509 237446142 270197334 356169213 405296001 435317927 472163018 708244527 712338426 810592002 870635854 1068507639 1215888003 1305953781 1416489054 2124733581 2137015278 2431776006 2596896599 2611907562 3205522917 3917861343 4249467162 5193793198 6374200743 6411045834 6846363761 7790689797 7835722686 11753584029 12748401486 13692727522 15581379594 19122602229 20539091283 23372069391 23507168058 35260752087 38245204458 41078182566 46744138782 61617273849 70116208173 70521504174 75310001371 123234547698 140232416346 150620002742 184851821547 210348624519 225930004113 369703643094 420697249038 451860008226 554555464641 677790012339 1109110929282 1355580024678 2033370037017 4066740074034 6100110111051 12200220222102