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12201222020202 = 2327313776498861
BaseRepresentation
bin1011000110001101000110…
…0000010001110001101010
31121012102111010210211212100
42301203101200101301222
53044401100314121302
641541055232154230
72366336440656435
oct261432140216152
947172433724770
1012201222020202
113984566821956
121450818698976
136a6754c43027
143027840c281c
151625ad7ced1c
hexb18d1811c6a

12201222020202 has 96 divisors (see below), whose sum is σ = 27000300272400. Its totient is φ = 3981110722560.

The previous prime is 12201222020189. The next prime is 12201222020219. The reversal of 12201222020202 is 20202022210221.

12201222020202 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 220 + 20 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7669138801041 + 4532083219161 = 2769321^2 + 2128869^2 .

It is a super-3 number, since 3×122012220202023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376953252 + ... + 1376962112.

Almost surely, 212201222020202 is an apocalyptic number.

12201222020202 is an abundant number, since it is smaller than the sum of its proper divisors (14799078252198).

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

12201222020202 is a wasteful number, since it uses less digits than its factorization.

12201222020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16725 counting only the distinct ones).

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

Adding to 12201222020202 its reverse (20202022210221), we get a palindrome (32403244230423).

The spelling of 12201222020202 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 7649 8861 10001 15298 17722 20002 22947 26583 30003 45894 53166 60006 68841 79749 90009 137682 159498 180018 558377 646853 1047913 1116754 1213957 1293706 1675131 1940559 2095826 2427914 3143739 3350262 3641871 3881118 5025393 5821677 6287478 7283742 9431217 10050786 10925613 11643354 18862434 21851226 67777789 76497649 88618861 135555578 152995298 177237722 203333367 229492947 265856583 406666734 458985894 531713166 610000101 688478841 797569749 1220000202 1376957682 1595139498 4947778597 9285557093 9895557194 14843335791 18571114186 27856671279 29686671582 44530007373 55713342558 83570013837 89060014746 167140027674 677845667789 1355691335578 2033537003367 4067074006734 6100611010101 12201222020202