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12205556011 = 1117793472381
BaseRepresentation
bin10110101111000001…
…00000000100101011
31011111121220111012001
423113200200010223
5144444110243021
65335051231431
7611315341255
oct132740400453
934447814161
1012205556011
1151a3799980
122447748577
1311c69159bc
1483b048cd5
154b6826091
hex2d782012b

12205556011 has 32 divisors (see below), whose sum is σ = 14324014080. Its totient is φ = 10277030400.

The previous prime is 12205555997. The next prime is 12205556021. The reversal of 12205556011 is 11065550221.

It is not a de Polignac number, because 12205556011 - 219 = 12205031723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12205556021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5125041 + ... + 5127421.

It is an arithmetic number, because the mean of its divisors is an integer number (447625440).

Almost surely, 212205556011 is an apocalyptic number.

12205556011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12205556011 is a deficient number, since it is larger than the sum of its proper divisors (2118458069).

12205556011 is a wasteful number, since it uses less digits than its factorization.

12205556011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 12205556011 in words is "twelve billion, two hundred five million, five hundred fifty-six thousand, eleven".

Divisors: 1 11 17 79 187 347 869 1343 2381 3817 5899 14773 26191 27413 40477 64889 188099 301543 445247 466021 826207 2069089 3197683 5126231 9088277 14045519 35174513 65270353 154500709 717973883 1109596001 12205556011