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12102220101111 = 3723712161163307
BaseRepresentation
bin1011000000011100010010…
…0001111011010111110111
31120211221221112020021020020
42300013010201323113313
53041240321321213421
641423403321340223
72356233203360010
oct260070441732767
946757845207206
1012102220101111
113946582819808
1214355a9037673
1369a30814b10a
142dba71830007
1515ec16ee7dc6
hexb01c487b5f7

12102220101111 has 64 divisors (see below), whose sum is σ = 19523463561216. Its totient is φ = 6518652940800.

The previous prime is 12102220101067. The next prime is 12102220101119. The reversal of 12102220101111 is 11110102220121.

It is a happy number.

It is not a de Polignac number, because 12102220101111 - 227 = 12102085883383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102220101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74025520 + ... + 74188826.

It is an arithmetic number, because the mean of its divisors is an integer number (305054118144).

Almost surely, 212102220101111 is an apocalyptic number.

12102220101111 is a deficient number, since it is larger than the sum of its proper divisors (7421243460105).

12102220101111 is a wasteful number, since it uses less digits than its factorization.

12102220101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165572.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102220101111 its reverse (11110102220121), we get a palindrome (23212322321232).

The spelling of 12102220101111 in words is "twelve trillion, one hundred two billion, two hundred twenty million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 7 21 23 69 71 161 213 483 497 1491 1633 2161 4899 6483 11431 15127 34293 45381 49703 149109 153431 163307 347921 460293 489921 1043763 1074017 1143149 3222051 3429447 3528913 3756061 10586739 11268183 11594797 24702391 26292427 34784391 74107173 78877281 81163579 243490737 266680331 352906427 800040993 1058719281 1866762317 2470344989 5600286951 7411034967 8116847821 24350543463 25056356317 56817934747 75169068951 170453804241 175394494219 526183482657 576296195291 1728888585873 4034073367037 12102220101111