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12120342302024 = 23117910973321821
BaseRepresentation
bin1011000001011111110010…
…1100101000110101001000
31120220200201111100110101122
42300113330230220311020
53042034430112131044
641440001451134412
72360444244501005
oct260277454506510
946820644313348
1012120342302024
113953232286560
121439006144408
1369bc35796318
142dc8b058a8ac
15160427e8ddee
hexb05fcb28d48

12120342302024 has 128 divisors (see below), whose sum is σ = 25371479232000. Its totient is φ = 5382005990400.

The previous prime is 12120342301973. The next prime is 12120342302063. The reversal of 12120342302024 is 42020324302121.

It is a junction number, because it is equal to n+sod(n) for n = 12120342301984 and 12120342302002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555433034 + ... + 555454854.

It is an arithmetic number, because the mean of its divisors is an integer number (198214681500).

Almost surely, 212120342302024 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 12120342302024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685739616000).

12120342302024 is an abundant number, since it is smaller than the sum of its proper divisors (13251136929976).

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

12120342302024 is a wasteful number, since it uses less digits than its factorization.

12120342302024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759 (or 22755 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12120342302024 its reverse (42020324302121), we get a palindrome (54140666604145).

The spelling of 12120342302024 in words is "twelve trillion, one hundred twenty billion, three hundred forty-two million, three hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 79 88 109 158 218 316 436 632 733 869 872 1199 1466 1738 2398 2932 3476 4796 5864 6952 8063 8611 9592 16126 17222 21821 32252 34444 43642 57907 64504 68888 79897 87284 94721 115814 159794 174568 189442 231628 240031 319588 378884 463256 480062 636977 639176 757768 878867 960124 1273954 1723859 1757734 1920248 2378489 2547908 3447718 3515468 4756978 5095816 6311863 6895436 7030936 9513956 12623726 13790872 15994793 18962449 19027912 25247452 26163379 31989586 37924898 50494904 52326758 63979172 69430493 75849796 104653516 127958344 138860986 151699592 175942723 187900631 209307032 277721972 351885446 375801262 555443944 703770892 751602524 1263588647 1407541784 1503205048 1743432437 2066906941 2527177294 3486864874 4133813882 5054354588 6973729748 8267627764 10108709176 13899475117 13947459496 16535255528 19177756807 27798950234 38355513614 55597900468 76711027228 111195800936 137731162523 153422054456 275462325046 550924650092 1101849300184 1515042787753 3030085575506 6060171151012 12120342302024