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12221211303301 = 71113235231101477
BaseRepresentation
bin1011000111010111100011…
…1101010101110110000101
31121021100002020011122021211
42301311320331111312011
53100213020043201201
641554202540011421
72400645003036640
oct261657075256605
947240066148254
1012221211303301
113991a941a1130
121454676b30b71
136a85bc3379b0
1430371cbb8a57
15162d7d630651
hexb1d78f55d85

12221211303301 has 64 divisors (see below), whose sum is σ = 17125771493376. Its totient is φ = 8406596563200.

The previous prime is 12221211303247. The next prime is 12221211303313. The reversal of 12221211303301 is 10330311212221.

It is a de Polignac number, because none of the positive numbers 2k-12221211303301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221211303361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120382575 + ... + 120484051.

It is an arithmetic number, because the mean of its divisors is an integer number (267590179584).

Almost surely, 212221211303301 is an apocalyptic number.

12221211303301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221211303301 is a deficient number, since it is larger than the sum of its proper divisors (4904560190075).

12221211303301 is a wasteful number, since it uses less digits than its factorization.

12221211303301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106762.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12221211303301 its reverse (10330311212221), we get a palindrome (22551522515522).

The spelling of 12221211303301 in words is "twelve trillion, two hundred twenty-one billion, two hundred eleven million, three hundred three thousand, three hundred one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 5231 23023 36617 57541 68003 101477 120313 402787 476021 710339 748033 842191 1116247 1319201 1323443 1564069 2333971 5236231 7813729 9234407 9264101 10948483 14511211 16337797 17204759 25673681 30341623 101578477 120433313 179715767 212391361 333757853 530826187 2336304971 3715783309 5839088057 6900740431 12209002301 40873616399 48305183017 75908144741 85463016107 134299025311 158717029913 531357013187 940093177177 1111019209391 1745887329043 12221211303301