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212012200002000 = 2435388739836941
BaseRepresentation
bin110000001101001011101111…
…110111101000000111010000
31000210200011112202011110212210
4300031023233313220013100
5210242101441200031000
62030525020551552120
762441242646540136
oct6015135767500720
91023604482143783
10212012200002000
116160a961833232
121b94147498b640
13913b88439b458
143a4d633a03756
151979dcd08a350
hexc0d2efde81d0

212012200002000 has 160 divisors (see below), whose sum is σ = 684297955770624. Its totient is φ = 56472846144000.

The previous prime is 212012200001951. The next prime is 212012200002011. The reversal of 212012200002000 is 200002210212.

212012200002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 14596471 + ... + 25240470.

Almost surely, 2212012200002000 is an apocalyptic number.

212012200002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012200002000 is an abundant number, since it is smaller than the sum of its proper divisors (472285755768624).

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

212012200002000 is a wasteful number, since it uses less digits than its factorization.

212012200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39837854 (or 39837838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212012200002000 its reverse (200002210212), we get a palindrome (212212202212212).

The spelling of 212012200002000 in words is "two hundred twelve trillion, twelve billion, two hundred million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 887 1000 1200 1500 1774 2000 2661 3000 3548 4435 5322 6000 7096 8870 10644 13305 14192 17740 21288 22175 26610 35480 42576 44350 53220 66525 70960 88700 106440 110875 133050 177400 212880 221750 266100 332625 354800 443500 532200 665250 887000 1064400 1330500 1774000 2661000 5322000 39836941 79673882 119510823 159347764 199184705 239021646 318695528 398369410 478043292 597554115 637391056 796738820 956086584 995923525 1195108230 1593477640 1912173168 1991847050 2390216460 2987770575 3186955280 3983694100 4780432920 4979617625 5975541150 7967388200 9560865840 9959235250 11951082300 14938852875 15934776400 19918470500 23902164600 29877705750 35335366667 39836941000 47804329200 59755411500 70670733334 79673882000 106006100001 119510823000 141341466668 176676833335 212012200002 239021646000 282682933336 353353666670 424024400004 530030500005 565365866672 706707333340 848048800008 883384166675 1060061000010 1413414666680 1696097600016 1766768333350 2120122000020 2650152500025 2826829333360 3533536666700 4240244000040 4416920833375 5300305000050 7067073333400 8480488000080 8833841666750 10600610000100 13250762500125 14134146666800 17667683333500 21201220000200 26501525000250 35335366667000 42402440000400 53003050000500 70670733334000 106006100001000 212012200002000