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2121012202212 = 22324147283108037
BaseRepresentation
bin11110110111010110001…
…011011100101011100100
321111202200222122122212100
4132313112023130223210
5234222313110432322
64302213552252100
7306144442152231
oct36672613345344
97452628578770
102121012202212
11748575103462
122a3096841030
1312501a36b957
147492c3dc788
153a28bc74dac
hex1edd62dcae4

2121012202212 has 144 divisors (see below), whose sum is σ = 5628942289152. Its totient is φ = 672692636160.

The previous prime is 2121012202189. The next prime is 2121012202213. The reversal of 2121012202212 is 2122022101212.

It is a happy number.

2121012202212 is a `hidden beast` number, since 21 + 210 + 1 + 220 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2121012202213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19578258 + ... + 19686294.

It is an arithmetic number, because the mean of its divisors is an integer number (39089877008).

Almost surely, 22121012202212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121012202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814471144576).

2121012202212 is an abundant number, since it is smaller than the sum of its proper divisors (3507930086940).

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

2121012202212 is a wasteful number, since it uses less digits than its factorization.

2121012202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108418 (or 108413 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121012202212 its reverse (2122022101212), we get a palindrome (4243034303424).

The spelling of 2121012202212 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 283 369 423 492 564 566 738 846 849 1132 1476 1692 1698 1927 2547 3396 3854 5094 5781 7708 10188 11562 11603 13301 17343 23124 23206 26602 34686 34809 39903 46412 53204 69372 69618 79806 104427 108037 119709 139236 159612 208854 216074 239418 324111 417708 432148 478836 545341 648222 972333 1090682 1296444 1636023 1944666 2181364 3272046 3889332 4429517 4908069 5077739 6544092 8859034 9816138 10155478 13288551 15233217 17718068 19632276 20310956 26577102 30466434 30574471 39865653 45699651 53154204 60932868 61148942 79731306 91399302 91723413 122297884 159462612 182798604 183446826 208187299 275170239 366893652 416374598 550340478 624561897 832749196 1100680956 1249123794 1253553311 1437000137 1873685691 2498247588 2507106622 2874000274 3747371382 3760659933 4311000411 5014213244 5748000548 7494742764 7521319866 8622000822 11281979799 12933001233 15042639732 17244001644 22563959598 25866002466 45127919196 51732004932 58917005617 117834011234 176751016851 235668022468 353502033702 530253050553 707004067404 1060506101106 2121012202212