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211212221100012 = 223311607329275163
BaseRepresentation
bin110000000001100010101101…
…011010010010111111101100
31000200211200122211201121221000
4300001202231122102333230
5210141000112100200022
62025113315503440300
762326402510216266
oct6001425532227754
91020750584647830
10211212221100012
1161331666579810
121b8324155b6090
1390b12c48cac12
143a22a243b0b36
1519641aba646ac
hexc018ad692fec

211212221100012 has 96 divisors (see below), whose sum is σ = 597466283016960. Its totient is φ = 63993162119040.

The previous prime is 211212221099977. The next prime is 211212221100043. The reversal of 211212221100012 is 210001122212112.

211212221100012 is a `hidden beast` number, since 211 + 212 + 221 + 10 + 0 + 0 + 12 = 666.

It is a super-2 number, since 2×2112122211000122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7422858 + ... + 21852305.

It is an arithmetic number, because the mean of its divisors is an integer number (6223607114760).

Almost surely, 2211212221100012 is an apocalyptic number.

211212221100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211212221100012 is an abundant number, since it is smaller than the sum of its proper divisors (386254061916948).

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

211212221100012 is a wasteful number, since it uses less digits than its factorization.

211212221100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29281260 (or 29281252 counting only the distinct ones).

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

Adding to 211212221100012 its reverse (210001122212112), we get a palindrome (421213343312124).

The spelling of 211212221100012 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 6073 12146 18219 24292 36438 54657 66803 72876 109314 133606 163971 200409 218628 267212 327942 400818 601227 655884 801636 1202454 1803681 2404908 3607362 7214724 29275163 58550326 87825489 117100652 175650978 263476467 322026793 351301956 526952934 644053586 790429401 966080379 1053905868 1288107172 1580858802 1932160758 2898241137 3161717604 3864321516 5796482274 8694723411 11592964548 17389446822 34778893644 177788064899 355576129798 533364194697 711152259596 1066728389394 1600092584091 1955668713889 2133456778788 3200185168182 3911337427778 4800277752273 5867006141667 6400370336364 7822674855556 9600555504546 11734012283334 17601018425001 19201111009092 23468024566668 35202036850002 52803055275003 70404073700004 105606110550006 211212221100012