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12012001212211 = 71121349112911721
BaseRepresentation
bin1010111011001100001100…
…0100001011011100110011
31120112100002000110211222121
42232303003010023130303
53033301034302242321
641314123121415111
72346560405435260
oct256630304133463
946470060424877
1012012001212211
113911296594200
12142000aa9a497
1369195ab8a0a0
142d7553834267
1515c6d6830441
hexaecc310b733

12012001212211 has 96 divisors (see below), whose sum is σ = 16305361325568. Its totient is φ = 8610719040000.

The previous prime is 12012001212209. The next prime is 12012001212259. The reversal of 12012001212211 is 11221210021021.

12012001212211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12012001212211 - 21 = 12012001212209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012001215211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6979662831 + ... + 6979664551.

It is an arithmetic number, because the mean of its divisors is an integer number (169847513808).

Almost surely, 212012001212211 is an apocalyptic number.

12012001212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12012001212211 is a deficient number, since it is larger than the sum of its proper divisors (4293360113357).

12012001212211 is a wasteful number, since it uses less digits than its factorization.

12012001212211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12012001212211 its reverse (11221210021021), we get a palindrome (23233211233232).

The spelling of 12012001212211 in words is "twelve trillion, twelve billion, one million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 121 143 491 847 1001 1291 1573 1721 3437 5401 6383 9037 11011 12047 14201 16783 18931 22373 37807 44681 59411 70213 99407 117481 132517 156211 156611 184613 208241 246103 415877 491491 633881 772343 845011 1093477 1292291 1457687 1722721 2030743 2221811 2707133 4437167 5406401 5915077 6972691 8240453 9295121 10985143 14215201 15552677 18949931 24439921 28883543 48808837 57683171 65065847 76699601 76896001 90644983 102246331 120836573 171079447 202184801 268839131 317718973 536897207 634514881 715724317 845856011 997094813 1090909201 1329202303 1881873917 2224032811 3494908703 6979663691 7636364407 9304416121 12000001211 14181819613 24464360921 84000008477 99272737291 132000013321 156000015743 924000093247 1092000110201 1716000173173 12012001212211