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211201011000012 = 2231141101386381951
BaseRepresentation
bin110000000001011000010001…
…001111001010001011001100
31000200210121201120221112200010
4300001120101033022023030
5210140304132304000022
62025104223252233220
762325524640022065
oct6001302117121314
91020717646845603
10211201011000012
116132793378a760
121b83020730b810
1390b02292c1057
143a2227d64d56c
151963c5282350c
hexc016113ca2cc

211201011000012 has 96 divisors (see below), whose sum is σ = 556167454875648. Its totient is φ = 61821112000000.

The previous prime is 211201010999999. The next prime is 211201011000223. The reversal of 211201011000012 is 210000110102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192644364 + ... + 193737587.

It is an arithmetic number, because the mean of its divisors is an integer number (5793410988288).

Almost surely, 2211201011000012 is an apocalyptic number.

211201011000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211201011000012 is an abundant number, since it is smaller than the sum of its proper divisors (344966443875636).

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

211201011000012 is a wasteful number, since it uses less digits than its factorization.

211201011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386382111 (or 386382109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211201011000012 its reverse (210000110102112), we get a palindrome (421201121102124).

The spelling of 211201011000012 in words is "two hundred eleven trillion, two hundred one billion, eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 123 132 164 202 246 303 404 451 492 606 902 1111 1212 1353 1804 2222 2706 3333 4141 4444 5412 6666 8282 12423 13332 16564 24846 45551 49692 91102 136653 182204 273306 546612 386381951 772763902 1159145853 1545527804 2318291706 4250201461 4636583412 8500402922 12750604383 15841659991 17000805844 25501208766 31683319982 39024577051 47524979973 51002417532 63366639964 78049154102 95049959946 117073731153 156098308204 174258259901 190099919892 234147462306 348516519802 429270347561 468294924612 522774779703 697033039604 858540695122 1045549559406 1287811042683 1600007659091 1717081390244 2091099118812 2575622085366 3200015318182 4800022977273 5151244170732 6400030636364 9600045954546 17600084250001 19200091909092 35200168500002 52800252750003 70400337000004 105600505500006 211201011000012