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121121012112111 = 32111498211037361
BaseRepresentation
bin11011100010100010101110…
…111001101101101011101111
3120212212001111120211200201200
4123202202232321231223233
5111333421313100041421
61105334120320540543
734340463410003604
oct3342425671555357
9525761446750650
10121121012112111
11356581507a0010
1211702091a81753
13527787c49aa7b
1421ca4070006ab
15e0097eb47726
hex6e28aee6daef

121121012112111 has 24 divisors (see below), whose sum is σ = 192138274270800. Its totient is φ = 72914011756800.

The previous prime is 121121012112071. The next prime is 121121012112167. The reversal of 121121012112111 is 111211210121121.

121121012112111 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 211 + 21 + 11 = 666.

It is not a de Polignac number, because 121121012112111 - 221 = 121121010014959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121012112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4105503930 + ... + 4105533431.

It is an arithmetic number, because the mean of its divisors is an integer number (8005761427950).

Almost surely, 2121121012112111 is an apocalyptic number.

121121012112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121121012112111 is a deficient number, since it is larger than the sum of its proper divisors (71017262158689).

121121012112111 is a wasteful number, since it uses less digits than its factorization.

121121012112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211037527 (or 8211037524 counting only the distinct ones).

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

Adding to 121121012112111 its reverse (111211210121121), we get a palindrome (232332222233232).

It can be divided in two parts, 1211210121121 and 11, that multiplied together give a palindrome (13323311332331).

The spelling of 121121012112111 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 149 447 1341 1639 4917 14751 8211037361 24633112083 73899336249 90321410971 270964232913 812892698739 1223444566789 3670333700367 11011001101101 13457890234679 40373670704037 121121012112111