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12712217 = 72614253
BaseRepresentation
bin110000011111…
…100100011001
3212220211212212
4300133210121
511223242332
61132244505
7213023600
oct60374431
925824785
1012712217
1171a2971
124310735
13283122b
14198ca37
1511b18b2
hexc1f919

12712217 has 12 divisors (see below), whose sum is σ = 15033636. Its totient is φ = 10715040.

The previous prime is 12712187. The next prime is 12712223. The reversal of 12712217 is 71221721.

12712217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 11909401 = 896^2 + 3451^2 .

It is a de Polignac number, because none of the positive numbers 2k-12712217 is a prime.

It is a super-2 number, since 2×127122172 = 323200922110178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12712192 and 12712201.

It is not an unprimeable number, because it can be changed into a prime (12711217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (1252803).

Almost surely, 212712217 is an apocalyptic number.

It is an amenable number.

12712217 is a deficient number, since it is larger than the sum of its proper divisors (2321419).

12712217 is an equidigital number, since it uses as much as digits as its factorization.

12712217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4321 counting only the distinct ones).

The product of its digits is 392, while the sum is 23.

The square root of 12712217 is about 3565.4196106489. The cubic root of 12712217 is about 233.3854439168.

Adding to 12712217 its reverse (71221721), we get a palindrome (83933938).

The spelling of 12712217 in words is "twelve million, seven hundred twelve thousand, two hundred seventeen".

Divisors: 1 7 49 61 427 2989 4253 29771 208397 259433 1816031 12712217