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12671222085 = 3251724168729
BaseRepresentation
bin10111100110100001…
…11000000101000101
31012201002010202221200
423303100320011011
5201422313101320
65453204133113
7626001416304
oct136320700505
935632122850
1012671222085
115412635775
122557697199
13126c239262
14882c2443b
154e265b290
hex2f3438145

12671222085 has 48 divisors (see below), whose sum is σ = 23352254640. Its totient is φ = 6333972480.

The previous prime is 12671222063. The next prime is 12671222087. The reversal of 12671222085 is 58022217621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 910470276 + 11760751809 = 30174^2 + 108447^2 .

It is not a de Polignac number, because 12671222085 - 216 = 12671156549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671222087) 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, 150001 + ... + 218729.

It is an arithmetic number, because the mean of its divisors is an integer number (486505305).

Almost surely, 212671222085 is an apocalyptic number.

12671222085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12671222085 is a deficient number, since it is larger than the sum of its proper divisors (10681032555).

12671222085 is a wasteful number, since it uses less digits than its factorization.

12671222085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68998 (or 68995 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12671222085 in words is "twelve billion, six hundred seventy-one million, two hundred twenty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 241 255 723 765 1205 2169 3615 4097 10845 12291 20485 36873 61455 68729 184365 206187 343645 618561 1030935 1168393 3092805 3505179 5841965 10515537 16563689 17525895 49691067 52577685 82818445 149073201 248455335 281582713 745366005 844748139 1407913565 2534244417 4223740695 12671222085