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12200222102200 = 23521143128966407
BaseRepresentation
bin1011000110001001010111…
…1001111001001010111000
31121012022220110021202020021
42301202111321321022320
53044342023324232300
641540412112340224
72366302606546546
oct261422571711270
947168813252207
1012200222102200
1139840a3354740
121450599844674
136a6625a34282
143026cb396d96
15162550b17d1a
hexb1895e792b8

12200222102200 has 96 divisors (see below), whose sum is σ = 31663832492160. Its totient is φ = 4333271241600.

The previous prime is 12200222102177. The next prime is 12200222102213. The reversal of 12200222102200 is 220122200221.

12200222102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64388604 + ... + 64577803.

It is an arithmetic number, because the mean of its divisors is an integer number (329831588460).

Almost surely, 212200222102200 is an apocalyptic number.

12200222102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200222102200 is an abundant number, since it is smaller than the sum of its proper divisors (19463610389960).

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

12200222102200 is a wasteful number, since it uses less digits than its factorization.

12200222102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128966477 (or 128966468 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200222102200 its reverse (220122200221), we get a palindrome (12420344302421).

The spelling of 12200222102200 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 128966407 257932814 515865628 644832035 1031731256 1289664070 1418630477 2579328140 2837260954 3224160175 5158656280 5545555501 5674521908 6448320350 7093152385 11091111002 11349043816 12896640700 14186304770 22182222004 25793281400 27727777505 28372609540 35465761925 44364444008 55455555010 56745219080 61001110511 70931523850 110911110020 122002221022 138638887525 141863047700 221822220040 244004442044 277277775050 283726095400 305005552555 488008884088 554555550100 610011105110 1109111100200 1220022210220 1525027762775 2440044420440 3050055525550 6100111051100 12200222102200