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12268388386221 = 3113389547720029
BaseRepresentation
bin1011001010000111010011…
…1011101000010110101101
31121102211212002011202200020
42302201310323220112231
53102001124411324341
642032004140352353
72404235046445512
oct262416473502655
947384762152606
1012268388386221
1139aaaa3453860
1214618425456b9
136acb9a2b5386
14305b1663b309
151641e0260566
hexb2874ee85ad

12268388386221 has 32 divisors (see below), whose sum is σ = 17854344604800. Its totient is φ = 7431464705280.

The previous prime is 12268388386187. The next prime is 12268388386237.

12268388386221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12268388386221 - 227 = 12268254168493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268388386421) 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 31 ways as a sum of consecutive naturals, for example, 612521235 + ... + 612541263.

It is an arithmetic number, because the mean of its divisors is an integer number (557948268900).

Almost surely, 212268388386221 is an apocalyptic number.

12268388386221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12268388386221 is a deficient number, since it is larger than the sum of its proper divisors (5585956218579).

12268388386221 is a wasteful number, since it uses less digits than its factorization.

12268388386221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28909.

The product of its digits is 21233664, while the sum is 60.

The spelling of 12268388386221 in words is "twelve trillion, two hundred sixty-eight billion, three hundred eighty-eight million, three hundred eighty-six thousand, two hundred twenty-one".

Divisors: 1 3 11 33 3389 5477 10167 16431 20029 37279 60087 60247 111837 180741 220319 660957 18561553 55684659 67878281 109698833 203634843 204177083 329096499 612531249 746661091 1206687163 2239983273 3620061489 371769345037 1115308035111 4089462795407 12268388386221