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12185114067 = 347191131079
BaseRepresentation
bin10110101100100101…
…00001010111010011
31011110012102221010000
423112102201113103
5144423342122232
65333041141043
7610646521620
oct132622412723
934405387100
1012185114067
1151931a7605
12244092a783
1311c2609389
14838447347
154b4b3927c
hex2d64a15d3

12185114067 has 40 divisors (see below), whose sum is σ = 21897708800. Its totient is φ = 6596446896.

The previous prime is 12185114057. The next prime is 12185114093. The reversal of 12185114067 is 76041158121.

12185114067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12185114067 - 26 = 12185114003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12185114017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 554767 + ... + 576312.

It is an arithmetic number, because the mean of its divisors is an integer number (547442720).

Almost surely, 212185114067 is an apocalyptic number.

12185114067 is a deficient number, since it is larger than the sum of its proper divisors (9712594733).

12185114067 is a wasteful number, since it uses less digits than its factorization.

12185114067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131117 (or 1131108 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 12185114067 in words is "twelve billion, one hundred eighty-five million, one hundred fourteen thousand, sixty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 1131079 3393237 7917553 10179711 21490501 23752659 30539133 64471503 71257977 91617399 150433507 193414509 213773931 451300521 580243527 641321793 1353901563 1740730581 4061704689 12185114067