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212000011210120 = 235743153111500963
BaseRepresentation
bin110000001101000000011001…
…010111000100110110001000
31000210122000002021210200202111
4300031000121113010312020
5210241402010332210440
62030515243255512104
762440331623526560
oct6015003127046610
91023560067720674
10212000011210120
1161605777554511
121b93b032988634
13913a6910a5073
143a4cbd8cbdda0
151979917e764ea
hexc0d0195c4d88

212000011210120 has 128 divisors (see below), whose sum is σ = 558185026544640. Its totient is φ = 70948974539520.

The previous prime is 212000011210111. The next prime is 212000011210133. The reversal of 212000011210120 is 21012110000212.

It is a self number, because there is not a number n which added to its sum of digits gives 212000011210120.

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, 12682759 + ... + 24183721.

It is an arithmetic number, because the mean of its divisors is an integer number (4360820519880).

Almost surely, 2212000011210120 is an apocalyptic number.

212000011210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000011210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279092513272320).

212000011210120 is an abundant number, since it is smaller than the sum of its proper divisors (346185015334520).

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

212000011210120 is a wasteful number, since it uses less digits than its factorization.

212000011210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502555 (or 11502551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212000011210120 its reverse (21012110000212), we get a palindrome (233012121210332).

The spelling of 212000011210120 in words is "two hundred twelve trillion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1531 1720 2408 3010 3062 6020 6124 7655 10717 12040 12248 15310 21434 30620 42868 53585 61240 65833 85736 107170 131666 214340 263332 329165 428680 460831 526664 658330 921662 1316660 1843324 2304155 2633320 3686648 4608310 9216620 11500963 18433240 23001926 46003852 57504815 80506741 92007704 115009630 161013482 230019260 322026964 402533705 460038520 494541409 644053928 805067410 989082818 1610134820 1978165636 2472707045 3220269640 3461789863 3956331272 4945414090 6923579726 9890828180 13847159452 17308949315 17607974353 19781656360 27694318904 34617898630 35215948706 69235797260 70431897412 88039871765 123255820471 138471594520 140863794824 176079743530 246511640942 352159487060 493023281884 616279102355 704318974120 757142897179 986046563768 1232558204710 1514285794358 2465116409420 3028571588716 3785714485895 4930232818840 5300000280253 6057143177432 7571428971790 10600000560506 15142857943580 21200001121012 26500001401265 30285715887160 42400002242024 53000002802530 106000005605060 212000011210120