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212200012020 = 223537131729661
BaseRepresentation
bin1100010110100000011…
…0110011100011110100
3202021201120202111202110
43011220012303203310
511434041200341040
6241252222411020
721221341225113
oct3055006634364
9667646674673
10212200012020
1181aa2413867
1235161430a70
1317019a435b9
14a3b04c5c7a
1557be552980
hex31681b38f4

212200012020 has 96 divisors (see below), whose sum is σ = 614877411456. Its totient is φ = 54636940800.

The previous prime is 212200012019. The next prime is 212200012021. The reversal of 212200012020 is 20210002212.

It is an interprime number because it is at equal distance from previous prime (212200012019) and next prime (212200012021).

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

It is a junction number, because it is equal to n+sod(n) for n = 212200011987 and 212200012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74011 + ... + 655650.

It is an arithmetic number, because the mean of its divisors is an integer number (6404973036).

Almost surely, 2212200012020 is an apocalyptic number.

212200012020 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 212200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307438705728).

212200012020 is an abundant number, since it is smaller than the sum of its proper divisors (402677399436).

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

212200012020 is a wasteful number, since it uses less digits than its factorization.

212200012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729841 (or 729839 counting only the distinct ones).

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

Adding to 212200012020 its reverse (20210002212), we get a palindrome (232410014232).

The spelling of 212200012020 in words is "two hundred twelve billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 131 148 185 222 262 370 393 444 524 555 655 740 786 1110 1310 1572 1965 2220 2620 3930 4847 7860 9694 14541 19388 24235 29082 48470 58164 72705 96940 145410 290820 729661 1459322 2188983 2918644 3648305 4377966 7296610 8755932 10944915 14593220 21889830 26997457 43779660 53994914 80992371 95585591 107989828 134987285 161984742 191171182 269974570 286756773 323969484 382342364 404961855 477927955 539949140 573513546 809923710 955855910 1147027092 1433783865 1619847420 1911711820 2867567730 3536666867 5735135460 7073333734 10610000601 14146667468 17683334335 21220001202 35366668670 42440002404 53050003005 70733337340 106100006010 212200012020