Search a number
-
+
12023102124 = 223211313972467
BaseRepresentation
bin10110011001010000…
…11111101010101100
31011000220120212111200
423030220133222230
5144110403231444
65305012445500
7603641452605
oct131450375254
934026525450
1012023102124
11510a800640
1223b6619890
131197b92c17
14820b12dac
154a57d5969
hex2cca1faac

12023102124 has 144 divisors (see below), whose sum is σ = 34324233216. Its totient is φ = 3515529600.

The previous prime is 12023102123. The next prime is 12023102137. The reversal of 12023102124 is 42120132021.

It is a happy number.

It is a super-2 number, since 2×120231021242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12023102097 and 12023102106.

It is not an unprimeable number, because it can be changed into a prime (12023102123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4872339 + ... + 4874805.

Almost surely, 212023102124 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 12023102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162116608).

12023102124 is an abundant number, since it is smaller than the sum of its proper divisors (22301131092).

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

12023102124 is a wasteful number, since it uses less digits than its factorization.

12023102124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12023102124 its reverse (42120132021), we get a palindrome (54143234145).

The spelling of 12023102124 in words is "twelve billion, twenty-three million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 397 558 682 794 1023 1116 1191 1364 1588 2046 2382 2467 3069 3573 4092 4367 4764 4934 6138 7146 7401 8734 9868 12276 12307 13101 14292 14802 17468 22203 24614 26202 27137 29604 36921 39303 44406 49228 52404 54274 73842 76477 78606 81411 88812 108548 110763 135377 147684 152954 157212 162822 221526 229431 244233 270754 305908 325644 406131 443052 458862 488466 541508 688293 812262 841247 917724 976932 979399 1218393 1376586 1624524 1682494 1958798 2436786 2523741 2753172 2938197 3364988 3917596 4873572 5047482 5876394 7571223 8814591 10094964 10773389 11752788 15142446 17629182 21546778 30284892 30361369 32320167 35258364 43093556 60722738 64640334 91084107 96960501 121445476 129280668 182168214 193921002 273252321 333975059 364336428 387842004 546504642 667950118 1001925177 1093009284 1335900236 2003850354 3005775531 4007700708 6011551062 12023102124