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212120102220 = 223513232514081
BaseRepresentation
bin1100010110001101010…
…1111110010101001100
3202021112000101200010020
43011203111332111030
511433410221232340
6241240245542140
721216351055665
oct3054325762514
9667460350106
10212120102220
1181a612a4404
123513a714950
13170063152b0
14a3a3a4436c
1557b751a9d0
hex316357e54c

212120102220 has 144 divisors (see below), whose sum is σ = 668643837792. Its totient is φ = 49943900160.

The previous prime is 212120102209. The next prime is 212120102237. The reversal of 212120102220 is 22201021212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212120102220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155580 + ... + 669660.

Almost surely, 2212120102220 is an apocalyptic number.

212120102220 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 212120102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334321918896).

212120102220 is an abundant number, since it is smaller than the sum of its proper divisors (456523735572).

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

212120102220 is a wasteful number, since it uses less digits than its factorization.

212120102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514152 (or 514127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120102220 its reverse (22201021212), we get a palindrome (234321123432).

The spelling of 212120102220 in words is "two hundred twelve billion, one hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 529 598 690 780 897 1058 1196 1380 1495 1587 1794 2116 2645 2990 3174 3588 4485 5290 5980 6348 6877 7935 8970 10580 13754 15870 17940 20631 27508 31740 34385 41262 68770 82524 103155 137540 206310 412620 514081 1028162 1542243 2056324 2570405 3084486 5140810 6168972 6683053 7711215 10281620 11823863 13366106 15422430 20049159 23647726 26732212 30844860 33415265 35471589 40098318 47295452 59119315 66830530 70943178 80196636 100245795 118238630 133661060 141886356 153710219 177357945 200491590 236477260 271948849 307420438 354715890 400983180 461130657 543897698 614840876 709431780 768551095 815846547 922261314 1087795396 1359744245 1537102190 1631693094 1844522628 2305653285 2719488490 3074204380 3263386188 3535335037 4079232735 4611306570 5438976980 7070670074 8158465470 9222613140 10606005111 14141340148 16316930940 17676675185 21212010222 35353350370 42424020444 53030025555 70706700740 106060051110 212120102220