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12672223101 = 3238913812621
BaseRepresentation
bin10111100110101001…
…01100011101111101
31012201011000122002100
423303110230131331
5201423042114401
65453241415313
7626013055566
oct136324543575
935634018070
1012672223101
11541315985a
122557a9a539
13126c4c9a85
1488300516d
154e27a7b86
hex2f352c77d

12672223101 has 24 divisors (see below), whose sum is σ = 18371672280. Its totient is φ = 8417116800.

The previous prime is 12672223093. The next prime is 12672223103. The reversal of 12672223101 is 10132227621.

12672223101 is a `hidden beast` number, since 126 + 7 + 222 + 310 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1986039225 + 10686183876 = 44565^2 + 103374^2 .

It is not a de Polignac number, because 12672223101 - 23 = 12672223093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4833571 + ... + 4836191.

It is an arithmetic number, because the mean of its divisors is an integer number (765486345).

Almost surely, 212672223101 is an apocalyptic number.

It is an amenable number.

12672223101 is a deficient number, since it is larger than the sum of its proper divisors (5699449179).

12672223101 is a wasteful number, since it uses less digits than its factorization.

12672223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12672223101 in words is "twelve billion, six hundred seventy-two million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 389 1167 1381 2621 3501 4143 7863 12429 23589 537209 1019569 1611627 3058707 3619601 4834881 9176121 10858803 32576409 1408024789 4224074367 12672223101