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12240410042420 = 22572181239288731
BaseRepresentation
bin1011001000011111000101…
…0010101110000000110100
31121100011122012222122020122
42302013301102232000310
53101021324432324140
642011100003351112
72402224525446200
oct262076122560064
947304565878218
1012240410042420
11399a1463a8a7a
121458334682498
136aa35ba0a861
143046208c7b00
15163603d75ab5
hexb21f14ae034

12240410042420 has 144 divisors (see below), whose sum is σ = 30192682141440. Its totient is φ = 4156048915200.

The previous prime is 12240410042417. The next prime is 12240410042429. The reversal of 12240410042420 is 2424001404221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12240410042420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240410042429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42249455 + ... + 42538185.

It is an arithmetic number, because the mean of its divisors is an integer number (209671403760).

Almost surely, 212240410042420 is an apocalyptic number.

12240410042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240410042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096341070720).

12240410042420 is an abundant number, since it is smaller than the sum of its proper divisors (17952272099020).

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

12240410042420 is a wasteful number, since it uses less digits than its factorization.

12240410042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289174 (or 289165 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12240410042420 its reverse (2424001404221), we get a palindrome (14664411446641).

The spelling of 12240410042420 in words is "twelve trillion, two hundred forty billion, four hundred ten million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 239 245 362 478 490 724 905 956 980 1195 1267 1673 1810 2390 2534 3346 3620 4780 5068 6335 6692 8365 8869 11711 12670 16730 17738 23422 25340 33460 35476 43259 44345 46844 58555 86518 88690 117110 173036 177380 216295 234220 288731 302813 432590 577462 605626 865180 1154924 1211252 1443655 1514065 2021117 2119691 2887310 3028130 4042234 4239382 5774620 6056260 8084468 8478764 10105585 10598455 14147819 20211170 21196910 28295638 40422340 42393820 52260311 56591276 69006709 70739095 104520622 138013418 141478190 209041244 261301555 276026836 282956380 345033545 365822177 483046963 522603110 690067090 731644354 966093926 1045206220 1380134180 1463288708 1829110885 1932187852 2415234815 2560755239 3381328741 3658221770 4830469630 5121510478 6762657482 7316443540 9660939260 10243020956 12490214329 12803776195 13525314964 16906643705 24980428658 25607552390 33813287410 49960857316 51215104780 62451071645 67626574820 87431500303 124902143290 174863000606 249804286580 349726001212 437157501515 612020502121 874315003030 1224041004242 1748630006060 2448082008484 3060102510605 6120205021210 12240410042420