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12011212212201 = 348359910192927
BaseRepresentation
bin1010111011001001010000…
…0010011000011111101001
31120112021001000211111110000
42232302110002120133221
53033242430311242301
641313512534413213
72346532015154556
oct256622402303751
946467030744400
1012011212212201
113910a21186884
12141ba2a801209
13691863588c87
142d74bab2da2d
1515c68c42c786
hexaec940987e9

12011212212201 has 80 divisors (see below), whose sum is σ = 18213237504000. Its totient is φ = 7887346058592.

The previous prime is 12011212212193. The next prime is 12011212212227. The reversal of 12011212212201 is 10221221211021.

12011212212201 is a `hidden beast` number, since 1 + 201 + 1 + 21 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 12011212212201 - 23 = 12011212212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12011212212101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4103590000 + ... + 4103592926.

It is an arithmetic number, because the mean of its divisors is an integer number (227665468800).

Almost surely, 212011212212201 is an apocalyptic number.

It is an amenable number.

12011212212201 is a deficient number, since it is larger than the sum of its proper divisors (6202025291799).

12011212212201 is a wasteful number, since it uses less digits than its factorization.

12011212212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011212212201 its reverse (10221221211021), we get a palindrome (22232433423222).

The spelling of 12011212212201 in words is "twelve trillion, eleven billion, two hundred twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 81 83 249 599 747 1019 1797 2241 2927 3057 5391 6723 8781 9171 16173 26343 27513 48519 49717 79029 82539 84577 149151 237087 242941 253731 447453 610381 728823 761193 1342359 1753273 1831143 2186469 2283579 2982613 4027077 5259819 5493429 6559407 6850737 8947839 15779457 16480287 19678221 26843517 47338371 49440861 50661623 80530551 142015113 145521659 151984869 241591653 247556879 436564977 455954607 742670637 1309694931 1367863821 1786585187 2228011911 3929084793 4103591463 5359755561 6684035733 11787254379 16079266683 20052107199 48237800049 144713400147 148286570521 444859711563 1334579134689 4003737404067 12011212212201