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12201220212102 = 23217591747738669
BaseRepresentation
bin1011000110001101000101…
…1001011000010110000110
31121012102111000101222121200
42301203101121120112012
53044401044333241402
641541055125323330
72366336416416135
oct261432131302606
947172430358550
1012201220212102
1139845657a7459
121450817b66546
136a675475c04c
14302783b7191c
151625ad57421c
hexb18d1658586

12201220212102 has 96 divisors (see below), whose sum is σ = 28467823831200. Its totient is φ = 3762642637824.

The previous prime is 12201220212101. The next prime is 12201220212109. The reversal of 12201220212102 is 20121202210221.

It is a happy number.

12201220212102 is a `hidden beast` number, since 1 + 220 + 1 + 220 + 212 + 10 + 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 (12201220212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315510424 + ... + 315549092.

It is an arithmetic number, because the mean of its divisors is an integer number (296539831575).

Almost surely, 212201220212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201220212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233911915600).

12201220212102 is an abundant number, since it is smaller than the sum of its proper divisors (16266603619098).

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

12201220212102 is a wasteful number, since it uses less digits than its factorization.

12201220212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56230 (or 56227 counting only the distinct ones).

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

Adding to 12201220212102 its reverse (20121202210221), we get a palindrome (32322422422323).

The spelling of 12201220212102 in words is "twelve trillion, two hundred one billion, two hundred twenty million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 6018 9027 17477 18054 34954 38669 52431 77338 104862 116007 157293 232014 297109 314586 348021 594218 657373 696042 891327 1031143 1314746 1782654 1972119 2062286 2281471 2673981 3093429 3944238 4562942 5347962 5916357 6186858 6844413 9280287 11832714 13688826 17529431 18560574 20533239 35058862 38785007 41066478 52588293 77570014 105176586 116355021 157764879 232710042 315529758 349065063 675818113 698130126 1351636226 2027454339 4054908678 6082363017 11488907921 12164726034 22977815842 34466723763 39873268667 68933447526 79746537334 103400171289 119619806001 206800342578 239239612002 358859418003 677845567339 717718836006 1355691134678 2033536702017 4067073404034 6100610106051 12201220212102