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12221211105 = 3251034216263
BaseRepresentation
bin10110110000111000…
…01110000111100001
31011112201100211221100
423120130032013201
5200012112223410
65340410545013
7611565403035
oct133034160741
934481324840
1012221211105
115201611874
122450a38169
1311c9c3757c
1483d1621c5
154b7db98c0
hex2d870e1e1

12221211105 has 48 divisors (see below), whose sum is σ = 21443325696. Its totient is φ = 6438337920.

The previous prime is 12221211091. The next prime is 12221211109. The reversal of 12221211105 is 50111212221.

It is not a de Polignac number, because 12221211105 - 211 = 12221209057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221211109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948204 + ... + 1954466.

It is an arithmetic number, because the mean of its divisors is an integer number (446735952).

Almost surely, 212221211105 is an apocalyptic number.

12221211105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12221211105 is a deficient number, since it is larger than the sum of its proper divisors (9222114591).

12221211105 is a wasteful number, since it uses less digits than its factorization.

12221211105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12221211105 its reverse (50111212221), we get a palindrome (62332423326).

The spelling of 12221211105 in words is "twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred five".

Divisors: 1 3 5 9 15 45 103 309 421 515 927 1263 1545 2105 3789 4635 6263 6315 18789 18945 31315 43363 56367 93945 130089 216815 281835 390267 645089 650445 1935267 1951335 2636723 3225445 5805801 7910169 9676335 13183615 23730507 29029005 39550845 118652535 271582469 814747407 1357912345 2444242221 4073737035 12221211105