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221211222120112 = 24746031251134297
BaseRepresentation
bin110010010011000011000000…
…010100001001011010110000
31002000020120211102012102221211
4302103003000110021122300
5212443311040330320422
62102251011005125504
764410661205442010
oct6223030024113260
91060216742172854
10221211222120112
1164537174a16404
1220988272859894
139658189ab5673
143c8a974979c40
151a89328e28577
hexc930c05096b0

221211222120112 has 80 divisors (see below), whose sum is σ = 489984709384192. Its totient is φ = 94773873692160.

The previous prime is 221211222120067. The next prime is 221211222120127. The reversal of 221211222120112 is 211021222112122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6449853748 + ... + 6449888044.

Almost surely, 2221211222120112 is an apocalyptic number.

It is an amenable number.

221211222120112 is an abundant number, since it is smaller than the sum of its proper divisors (268773487264080).

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

221211222120112 is a wasteful number, since it uses less digits than its factorization.

221211222120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51426 (or 51420 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221211222120112 its reverse (211021222112122), we get a palindrome (432232444232234).

The spelling of 221211222120112 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 4603 9206 12511 18412 25022 32221 34297 36824 50044 64442 68594 73648 87577 100088 128884 137188 175154 200176 240079 257768 274376 350308 480158 515536 548752 700616 960316 1401232 1920632 3841264 57588133 115176266 157869091 230352532 315738182 403116931 429089767 460705064 631476364 806233862 858179534 921410128 1105083637 1262952728 1612467724 1716359068 2210167274 2525905456 3003628369 3224935448 3432718136 4420334548 6007256738 6449870896 6865436272 8840669096 12014513476 17681338192 24029026952 48058053904 1975100197501 3950200395002 7900400790004 13825701382507 15800801580008 27651402765014 31601603160016 55302805530028 110605611060056 221211222120112