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21201211021212 = 22323747834080191
BaseRepresentation
bin1001101001000010010101…
…01001101101011110011100
32210001211000211220212102200
410310201022221231132130
510234330040010134322
6113031411335051500
74315510526155005
oct464411251553634
983054024825380
1021201211021212
1168344239a8302
122464b2a810b90
13baa35b751531
145342035441ac
1526b75b0378ac
hex13484aa6d79c

21201211021212 has 144 divisors (see below), whose sum is σ = 56888713469952. Its totient is φ = 6648685925760.

The previous prime is 21201211021201. The next prime is 21201211021229. The reversal of 21201211021212 is 21212011210212.

21201211021212 is a `hidden beast` number, since 21 + 201 + 211 + 0 + 21 + 212 = 666.

It is a super-2 number, since 2×212012110212122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 3156037 + ... + 7236227.

It is an arithmetic number, because the mean of its divisors is an integer number (395060510208).

Almost surely, 221201211021212 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 21201211021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28444356734976).

21201211021212 is an abundant number, since it is smaller than the sum of its proper divisors (35687502448740).

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

21201211021212 is a wasteful number, since it uses less digits than its factorization.

21201211021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080368 (or 4080363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21201211021212 its reverse (21212011210212), we get a palindrome (42413222231424).

The spelling of 21201211021212 in words is "twenty-one trillion, two hundred one billion, two hundred eleven million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 83 94 111 141 148 166 188 222 249 282 332 333 423 444 498 564 666 747 846 996 1332 1494 1692 1739 2988 3071 3478 3901 5217 6142 6956 7802 9213 10434 11703 12284 15604 15651 18426 20868 23406 27639 31302 35109 36852 46812 55278 62604 70218 110556 140436 144337 288674 433011 577348 866022 1299033 1732044 2598066 4080191 5196132 8160382 12240573 16320764 24481146 36721719 48962292 73443438 146886876 150967067 191768977 301934134 338655853 383537954 452901201 575306931 603868268 677311706 767075908 905802402 1015967559 1150613862 1354623412 1358703603 1725920793 1811604804 2031935118 2301227724 2717407206 3047902677 3451841586 4063870236 5434814412 6095805354 6903683172 7095452149 12191610708 12530266561 14190904298 15916825091 21286356447 25060533122 28381808596 31833650182 37590799683 42572712894 47750475273 50121066244 63667300364 63859069341 75181599366 85145425788 95500950546 112772399049 127718138682 143251425819 150363198732 191001901092 225544798098 255436277364 286502851638 451089596196 573005703276 588922528367 1177845056734 1766767585101 2355690113468 3533535170202 5300302755303 7067070340404 10600605510606 21201211021212