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12200211021102 = 23132109670916453
BaseRepresentation
bin1011000110001001010100…
…1111100111110100101110
31121012022212200102202211020
42301202111033213310232
53044342013010133402
641540411035035010
72366302413425256
oct261422517476456
947168780382736
1012200211021102
113984098076305
121450595b9ba66
136a6623654600
143026c9b10966
1516254eb798bc
hexb18953e7d2e

12200211021102 has 96 divisors (see below), whose sum is σ = 26669755490400. Its totient is φ = 3718691099136.

The previous prime is 12200211021091. The next prime is 12200211021107. The reversal of 12200211021102 is 20112011200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200211021107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741510708 + ... + 741527160.

It is an arithmetic number, because the mean of its divisors is an integer number (277809953025).

Almost surely, 212200211021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200211021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334877745200).

12200211021102 is an abundant number, since it is smaller than the sum of its proper divisors (14469544469298).

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

12200211021102 is a wasteful number, since it uses less digits than its factorization.

12200211021102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23302 (or 23289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200211021102 its reverse (20112011200221), we get a palindrome (32312222221323).

The spelling of 12200211021102 in words is "twelve trillion, two hundred billion, two hundred eleven million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 109 169 218 327 338 507 654 1014 1417 2834 4251 6709 8502 13418 16453 18421 20127 32906 36842 40254 49359 55263 87217 98718 110526 174434 213889 261651 427778 523302 641667 731281 1133821 1283334 1462562 1793377 2193843 2267642 2780557 3401463 3586754 4387686 5380131 5561114 6802926 8341671 9506653 10760262 16683342 19013306 23313901 28519959 46627802 57039918 69941703 110383177 123586489 139883406 220766354 247172978 303080713 331149531 370759467 606161426 662299062 741518934 909242139 1434981301 1818484278 2869962602 4304943903 8609887806 12031766293 18654756913 24063532586 36095298879 37309513826 55964270739 72190597758 111928541478 156412961809 312825923618 469238885427 938477770854 2033368503517 4066737007034 6100105510551 12200211021102