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212201122000 = 2453772720849
BaseRepresentation
bin1100010110100000101…
…1000010100011010000
3202021201122211220100211
43011220023002203100
511434041441401000
6241252302253504
721221353530160
oct3055013024320
9667648756324
10212201122000
1181aa30017aa
1235161887294
131701a0418aa
14a3b06d45a0
1557be6c17ba
hex31682c28d0

212201122000 has 160 divisors (see below), whose sum is σ = 587237414400. Its totient is φ = 72651110400.

The previous prime is 212201121989. The next prime is 212201122027. The reversal of 212201122000 is 221102212.

It is a happy number.

It is a congruent number.

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, 10167576 + ... + 10188424.

It is an arithmetic number, because the mean of its divisors is an integer number (3670233840).

Almost surely, 2212201122000 is an apocalyptic number.

212201122000 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 212201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293618707200).

212201122000 is an abundant number, since it is smaller than the sum of its proper divisors (375036292400).

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

212201122000 is a wasteful number, since it uses less digits than its factorization.

212201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21606 (or 21590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212201122000 its reverse (221102212), we get a palindrome (212422224212).

The spelling of 212201122000 in words is "two hundred twelve billion, two hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 727 875 1000 1400 1454 1750 2000 2800 2908 3500 3635 5089 5816 7000 7270 10178 11632 14000 14540 18175 20356 20849 25445 29080 36350 40712 41698 50890 58160 72700 81424 83396 90875 101780 104245 127225 145400 145943 166792 181750 203560 208490 254450 290800 291886 333584 363500 407120 416980 508900 521225 583772 636125 727000 729715 833960 1017800 1042450 1167544 1272250 1454000 1459430 1667920 2035600 2084900 2335088 2544500 2606125 2918860 3648575 4169800 5089000 5212250 5837720 7297150 8339600 10178000 10424500 11675440 14594300 15157223 18242875 20849000 29188600 30314446 36485750 41698000 58377200 60628892 72971500 75786115 106100561 121257784 145943000 151572230 212201122 242515568 291886000 303144460 378930575 424402244 530502805 606288920 757861150 848804488 1061005610 1212577840 1515722300 1697608976 1894652875 2122011220 2652514025 3031444600 3789305750 4244022440 5305028050 6062889200 7578611500 8488044880 10610056100 13262570125 15157223000 21220112200 26525140250 30314446000 42440224400 53050280500 106100561000 212201122000