Search a number
-
+
12185112973 = 1121914671129
BaseRepresentation
bin10110101100100101…
…00001000110001101
31011110012102212121111
423112102201012031
5144423342103343
65333041132021
7610646515465
oct132622410615
934405385544
1012185112973
1151931a6800
12244092a011
1311c2608a27
14838446ba5
154b4b38c9d
hex2d64a118d

12185112973 has 24 divisors (see below), whose sum is σ = 13504458240. Its totient is φ = 10986043200.

The previous prime is 12185112971. The next prime is 12185112977. The reversal of 12185112973 is 37921158121.

It is not a de Polignac number, because 12185112973 - 21 = 12185112971 is a prime.

It is a super-3 number, since 3×121851129733 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12185112971) 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, 10792273 + ... + 10793401.

It is an arithmetic number, because the mean of its divisors is an integer number (562685760).

Almost surely, 212185112973 is an apocalyptic number.

It is an amenable number.

12185112973 is a deficient number, since it is larger than the sum of its proper divisors (1319345267).

12185112973 is a wasteful number, since it uses less digits than its factorization.

12185112973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1798 counting only the distinct ones).

The product of its digits is 30240, while the sum is 40.

The spelling of 12185112973 in words is "twelve billion, one hundred eighty-five million, one hundred twelve thousand, nine hundred seventy-three".

Divisors: 1 11 121 191 467 1129 2101 5137 12419 23111 56507 89197 136609 215639 527243 981167 2372029 5799673 10792837 26092319 63796403 100703413 1107737543 12185112973