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12111211121121 = 3271319871148667
BaseRepresentation
bin1011000000111101110001…
…1011111100100111100001
31120212211011010102102000100
42300033130123330213201
53041412230021333441
641431451422213013
72360002046650230
oct260173433744741
946784133372010
1012111211121121
11394a376a37162
121437298124169
1369b10baa5bb8
142dc285988b17
151600914edcb6
hexb03dc6fc9e1

12111211121121 has 48 divisors (see below), whose sum is σ = 20147906009088. Its totient is φ = 6867120405600.

The previous prime is 12111211121117. The next prime is 12111211121123. The reversal of 12111211121121 is 12112111211121.

12111211121121 is a `hidden beast` number, since 1 + 211 + 1 + 211 + 121 + 121 = 666.

It is not a de Polignac number, because 12111211121121 - 22 = 12111211121117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111211121094 and 12111211121103.

It is not an unprimeable number, because it can be changed into a prime (12111211121123) 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, 81391030 + ... + 81539696.

It is an arithmetic number, because the mean of its divisors is an integer number (419748041856).

Almost surely, 212111211121121 is an apocalyptic number.

It is an amenable number.

12111211121121 is a deficient number, since it is larger than the sum of its proper divisors (8036694887967).

12111211121121 is a wasteful number, since it uses less digits than its factorization.

12111211121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158682 (or 158679 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 12111211121121 its reverse (12112111211121), we get a palindrome (24223322332242).

It can be divided in two parts, 12111211121 and 121, that multiplied together give a palindrome (1465456545641).

The spelling of 12111211121121 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 8253 9871 29613 69097 88839 148667 207291 446001 621873 1040669 1293101 1338003 3122007 3879303 9051707 9366021 11637909 19475377 27155121 58426131 81465363 136327639 175278393 408982917 1226948751 1467491957 4402475871 10272443699 13207427613 30817331097 92451993291 192241446367 576724339101 1345690124569 1730173017303 4037070373707 12111211121121