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12509217 = 327238997
BaseRepresentation
bin101111101110…
…000000100001
3212112112102100
4233232000201
511200243332
61124041013
7211220010
oct57560041
925475370
1012509217
1170743a6
124233169
13278ca06
141938a77
15117167c
hexbee021

12509217 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 6690816.

The previous prime is 12509197. The next prime is 12509221. The reversal of 12509217 is 71290521.

It is not a de Polignac number, because 12509217 - 215 = 12476449 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12509267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128913 + ... + 129009.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 212509217 is an apocalyptic number.

It is an amenable number.

12509217 is a deficient number, since it is larger than the sum of its proper divisors (9505503).

12509217 is a wasteful number, since it uses less digits than its factorization.

12509217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12509217 is about 3536.8371463781. The cubic root of 12509217 is about 232.1364696986.

Adding to 12509217 its reverse (71290521), we get a palindrome (83799738).

The spelling of 12509217 in words is "twelve million, five hundred nine thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 23 63 69 89 97 161 207 267 291 483 623 679 801 873 1449 1869 2037 2047 2231 5607 6111 6141 6693 8633 14329 15617 18423 20079 25899 42987 46851 60431 77697 128961 140553 181293 198559 543879 595677 1389913 1787031 4169739 12509217