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212012221212192 = 2533735920805999
BaseRepresentation
bin110000001101001011110001…
…001000100010011000100000
31000210200011121020002001210110
4300031023301020202120200
5210242102012112242232
62030525023030331320
762441243325036342
oct6015136110423040
91023604536061713
10212012221212192
116160a9727aa815
121b94147bab9b40
13913b8888b666b
143a4d636765292
151979dced79acc
hexc0d2f1222620

212012221212192 has 48 divisors (see below), whose sum is σ = 558024123888000. Its totient is φ = 70481274600192.

The previous prime is 212012221212151. The next prime is 212012221212199. The reversal of 212012221212192 is 291212122210212.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (212012221212199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2960367192 + ... + 2960438807.

It is an arithmetic number, because the mean of its divisors is an integer number (11625502581000).

Almost surely, 2212012221212192 is an apocalyptic number.

It is an amenable number.

212012221212192 is an abundant number, since it is smaller than the sum of its proper divisors (346011902675808).

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

212012221212192 is a wasteful number, since it uses less digits than its factorization.

212012221212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920806385 (or 5920806377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 212012221212192 in words is "two hundred twelve trillion, twelve billion, two hundred twenty-one million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 35808 5920805999 11841611998 17762417997 23683223996 35524835994 47366447992 71049671988 94732895984 142099343976 189465791968 284198687952 568397375904 2208460637627 4416921275254 6625381912881 8833842550508 13250763825762 17667685101016 26501527651524 35335370202032 53003055303048 70670740404064 106006110606096 212012221212192