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12211010011221 = 3747223317175013
BaseRepresentation
bin1011000110110001100011…
…1010100000000001010101
31121020100202021122022100020
42301230120322200001111
53100031122030324341
641545354402535353
72400134132346420
oct261543072400125
947210667568306
1012211010011221
1139887298a142a
1214526aa667559
136a7654a300a8
143030320189b7
15162982c60566
hexb1b18ea0055

12211010011221 has 64 divisors (see below), whose sum is σ = 19148693372928. Its totient is φ = 6777147886848.

The previous prime is 12211010011049. The next prime is 12211010011223. The reversal of 12211010011221 is 12211001011221.

It is a happy number.

It is not a de Polignac number, because 12211010011221 - 238 = 11936132104277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12211010011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211010011223) 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, 69684511 + ... + 69859523.

It is an arithmetic number, because the mean of its divisors is an integer number (299198333952).

Almost surely, 212211010011221 is an apocalyptic number.

It is an amenable number.

12211010011221 is a deficient number, since it is larger than the sum of its proper divisors (6937683361707).

12211010011221 is a wasteful number, since it uses less digits than its factorization.

12211010011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175610.

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

Adding to 12211010011221 its reverse (12211001011221), we get a palindrome (24422011022442).

Subtracting from 12211010011221 its reverse (12211001011221), we obtain a square (9000000 = 30002).

The spelling of 12211010011221 in words is "twelve trillion, two hundred eleven billion, ten million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 21 47 141 223 317 329 669 951 987 1561 2219 4683 6657 10481 14899 31443 44697 70691 73367 104293 175013 212073 220101 312879 494837 525039 1225091 1484511 3322477 3675273 8225611 9967431 23257339 24676833 39027899 55479121 57579277 69772017 117083697 166437363 172737831 273195293 388353847 819585879 1165061541 1834311253 2607518687 5502933759 7822556061 12371843983 12840178771 18252630809 37115531949 38520536313 54757892427 86602907881 259808723643 581476667201 1744430001603 4070336670407 12211010011221