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12727337042121 = 3135326683230761
BaseRepresentation
bin1011100100110101000001…
…1001110100000011001001
31200001201111000001010102220
42321031100121310003021
53132011041240321441
643022505151044253
72452343163610212
oct271152031640311
950051430033386
1012727337042121
1140676a6a60899
121516787510689
1371424b6075a0
143200137bc409
15171101e37466
hexb93506740c9

12727337042121 has 32 divisors (see below), whose sum is σ = 18620743300992. Its totient is φ = 7684108623360.

The previous prime is 12727337042117. The next prime is 12727337042143. The reversal of 12727337042121 is 12124073372721.

It is not a de Polignac number, because 12727337042121 - 22 = 12727337042117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12727337047121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55038381 + ... + 55269141.

It is an arithmetic number, because the mean of its divisors is an integer number (581898228156).

Almost surely, 212727337042121 is an apocalyptic number.

It is an amenable number.

12727337042121 is a deficient number, since it is larger than the sum of its proper divisors (5893406258871).

12727337042121 is a wasteful number, since it uses less digits than its factorization.

12727337042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257513.

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 12727337042121 in words is "twelve trillion, seven hundred twenty-seven billion, three hundred thirty-seven million, forty-two thousand, one hundred twenty-one".

Divisors: 1 3 13 39 53 159 689 2067 26683 80049 230761 346879 692283 1040637 1414199 2999893 4242597 8999679 12230333 18384587 36690999 55153761 158994329 476982987 6157395763 18472187289 80046144919 240138434757 326341975439 979025926317 4242445680707 12727337042121