Search a number
-
+
12200012132 = 2271189619719
BaseRepresentation
bin10110101110010110…
…10110100101100100
31011111020110211102012
423113023112211210
5144441200342012
65334332333352
7611220251330
oct132713264544
934436424365
1012200012132
1151a0652760
122445914258
1311c57244b9
1483a4047c0
154b60cd622
hex2d72d6964

12200012132 has 96 divisors (see below), whose sum is σ = 26998272000. Its totient is φ = 4685725440.

The previous prime is 12200012131. The next prime is 12200012171. The reversal of 12200012132 is 23121000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12200012131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16967669 + ... + 16968387.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 212200012132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136000).

12200012132 is an abundant number, since it is smaller than the sum of its proper divisors (14798259868).

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

12200012132 is a wasteful number, since it uses less digits than its factorization.

12200012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12200012132 its reverse (23121000221), we get a palindrome (35321012353).

The spelling of 12200012132 in words is "twelve billion, two hundred million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 619 623 719 979 1238 1246 1438 1958 2476 2492 2876 3916 4333 5033 6809 6853 7909 8666 10066 13618 13706 15818 17332 20132 27236 27412 31636 47663 55091 55363 63991 95326 110182 110726 127982 190652 220364 221452 255964 385637 445061 447937 606001 703901 771274 890122 895874 1212002 1407802 1542548 1780244 1791748 2424004 2815604 3115427 4242007 4895671 4927307 6230854 8484014 9791342 9854614 12461708 16968028 19582684 19709228 34269697 39610429 68539394 79220858 137078788 158441716 277273003 435714719 554546006 871429438 1109092012 1742858876 3050003033 6100006066 12200012132