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212112020000 = 2554103102967
BaseRepresentation
bin1100010110001011011…
…1001001001000100000
3202021111110012001101202
43011202313021020200
511433401134120000
6241235400420332
721216222264446
oct3054267111040
9667443161352
10212112020000
1181a57784091
1235137a776a8
131700474560a
14a3a293cb96
1557b6970dd5
hex3162dc9220

212112020000 has 120 divisors (see below), whose sum is σ = 526898788416. Its totient is φ = 84020256000.

The previous prime is 212112019993. The next prime is 212112020039. The reversal of 212112020000 is 20211212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2008517 + ... + 2111483.

Almost surely, 2212112020000 is an apocalyptic number.

212112020000 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 212112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263449394208).

212112020000 is an abundant number, since it is smaller than the sum of its proper divisors (314786768416).

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

212112020000 is a wasteful number, since it uses less digits than its factorization.

212112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103100 (or 103077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212112020000 its reverse (20211212), we get a palindrome (212132231212).

The spelling of 212112020000 in words is "two hundred twelve billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 625 800 824 1000 1030 1250 1648 2000 2060 2500 2575 3296 4000 4120 5000 5150 8240 10000 10300 12875 16480 20000 20600 25750 41200 51500 64375 82400 102967 103000 128750 205934 206000 257500 411868 412000 514835 515000 823736 1029670 1030000 1647472 2059340 2060000 2574175 3294944 4118680 5148350 8237360 10296700 10605601 12870875 16474720 20593400 21211202 25741750 41186800 42422404 51483500 53028005 64354375 82373600 84844808 102967000 106056010 128708750 169689616 205934000 212112020 257417500 265140025 339379232 411868000 424224040 514835000 530280050 848448080 1029670000 1060560100 1325700125 1696896160 2059340000 2121120200 2651400250 4242240400 5302800500 6628500625 8484480800 10605601000 13257001250 21211202000 26514002500 42422404000 53028005000 106056010000 212112020000