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12202122220101 = 3211283811537023
BaseRepresentation
bin1011000110010000011100…
…1010010001001001000101
31121012111210212200201222100
42301210013022101021011
53044404421242020401
641541324430422313
72366400651360102
oct261440712211105
947174725621870
1012202122220101
113984988980410
121450a2a061999
136a68695a96a8
1430282b891aa9
1516261284ab86
hexb1907291245

12202122220101 has 48 divisors (see below), whose sum is σ = 19319356772352. Its totient is φ = 7359993914400.

The previous prime is 12202122220037. The next prime is 12202122220111. The reversal of 12202122220101 is 10102222120221.

It is a happy number.

12202122220101 is a `hidden beast` number, since 1 + 220 + 2 + 122 + 220 + 101 = 666.

It is not a de Polignac number, because 12202122220101 - 26 = 12202122220037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202122220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22453276 + ... + 22990298.

It is an arithmetic number, because the mean of its divisors is an integer number (402486599424).

Almost surely, 212202122220101 is an apocalyptic number.

12202122220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202122220101 is a deficient number, since it is larger than the sum of its proper divisors (7117234552251).

12202122220101 is a wasteful number, since it uses less digits than its factorization.

12202122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538134 (or 538131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202122220101 its reverse (10102222120221), we get a palindrome (22304344340322).

The spelling of 12202122220101 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 11 33 99 283 811 849 2433 2547 3113 7299 8921 9339 26763 28017 80289 229513 537023 688539 1611069 2065617 2524643 4833207 5907253 7573929 17721759 22721787 53165277 151977509 435525653 455932527 1306576959 1367797581 1671752599 3919730877 4790782183 5015257797 14372346549 15045773391 43117039647 123253759799 369761279397 1109283838191 1355791357789 4067374073367 12202122220101