Search a number
-
+
12122432316 = 2232336734231
BaseRepresentation
bin10110100101000110…
…11010001100111100
31011021211111100220200
423102203122030330
5144311320313231
65322521443500
7606255655161
oct132243321474
934254440820
1012122432316
115160884905
122423940590
1311b2630897
1482ddac068
154ae3a6be6
hex2d28da33c

12122432316 has 18 divisors (see below), whose sum is σ = 30642815112. Its totient is φ = 4040810760.

The previous prime is 12122432297. The next prime is 12122432317. The reversal of 12122432316 is 61323422121.

12122432316 is a `hidden beast` number, since 1 + 212 + 2 + 432 + 3 + 16 = 666.

12122432316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×121224323162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12122432316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122432317) 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 5 ways as a sum of consecutive naturals, for example, 168367080 + ... + 168367151.

Almost surely, 212122432316 is an apocalyptic number.

It is an amenable number.

12122432316 is an abundant number, since it is smaller than the sum of its proper divisors (18520382796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122432316 is a wasteful number, since it uses less digits than its factorization.

12122432316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336734241 (or 336734236 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12122432316 its reverse (61323422121), we get a palindrome (73445854437).

The spelling of 12122432316 in words is "twelve billion, one hundred twenty-two million, four hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 336734231 673468462 1010202693 1346936924 2020405386 3030608079 4040810772 6061216158 12122432316