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12212002211101 = 7111916934930439
BaseRepresentation
bin1011000110110101010000…
…0011011100010100011101
31121020110022102122021200221
42301231110003130110131
53100040140031223401
641550041045121341
72400200541042430
oct261552403342435
947213272567627
1012212002211101
113989098977930
1214529269b9251
136a7782468b04
143030c7ad5817
151629dee007a1
hexb1b540dc51d

12212002211101 has 32 divisors (see below), whose sum is σ = 16036157491200. Its totient is φ = 9009685183680.

The previous prime is 12212002211083. The next prime is 12212002211119. The reversal of 12212002211101 is 10111220021221.

It is an interprime number because it is at equal distance from previous prime (12212002211083) and next prime (12212002211119).

It is a cyclic number.

It is not a de Polignac number, because 12212002211101 - 25 = 12212002211069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212002211141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11640 + ... + 4942078.

It is an arithmetic number, because the mean of its divisors is an integer number (501129921600).

Almost surely, 212212002211101 is an apocalyptic number.

12212002211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212002211101 is a deficient number, since it is larger than the sum of its proper divisors (3824155280099).

12212002211101 is a wasteful number, since it uses less digits than its factorization.

12212002211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932169.

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

Adding to 12212002211101 its reverse (10111220021221), we get a palindrome (22323222232322).

The spelling of 12212002211101 in words is "twelve trillion, two hundred twelve billion, two million, two hundred eleven thousand, one hundred one".

Divisors: 1 7 11 19 77 133 209 1463 1693 11851 18623 32167 130361 225169 353837 2476859 4930439 34513073 54234829 93678341 379643803 655748387 1030461751 7213232257 8347233227 58430632589 91819565497 158597431313 642736958479 1110182019191 1744571744443 12212002211101