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120012012012120 = 233517205963285631
BaseRepresentation
bin11011010010011001111001…
…010110000100001001011000
3120201221000222110111110211020
4123102121321112010021120
5111212234100033341440
61103124431320002440
734164403351460514
oct3322317126041130
9521830873443736
10120012012012120
113526a89908a758
1211563170000420
1351c7112c08b57
14218c8804d7144
15dd1bc3e9a3d0
hex6d2679584258

120012012012120 has 128 divisors (see below), whose sum is σ = 381217811927040. Its totient is φ = 30120410142720.

The previous prime is 120012012012119. The next prime is 120012012012173. The reversal of 120012012012120 is 21210210210021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120012012012120.

It is a congruent number.

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, 420021705 + ... + 420307335.

It is an arithmetic number, because the mean of its divisors is an integer number (2978264155680).

Almost surely, 2120012012012120 is an apocalyptic number.

120012012012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012012012120 is an abundant number, since it is smaller than the sum of its proper divisors (261205799914920).

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

120012012012120 is a wasteful number, since it uses less digits than its factorization.

120012012012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491625 (or 491621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120012012012120 its reverse (21210210210021), we get a palindrome (141222222222141).

The spelling of 120012012012120 in words is "one hundred twenty trillion, twelve billion, twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 205963 285631 411926 571262 617889 823852 856893 1029815 1142524 1235778 1428155 1647704 1713786 2059630 2285048 2471556 2856310 3089445 3427572 3501371 4119260 4284465 4855727 4943112 5712620 6178890 6855144 7002742 8238520 8568930 9711454 10504113 11425240 12357780 14005484 14567181 17137860 17506855 19422908 21008226 24278635 24715560 28010968 29134362 34275720 35013710 38845816 42016452 48557270 52520565 58268724 70027420 72835905 84032904 97114540 105041130 116537448 140054840 145671810 194229080 210082260 291343620 420164520 582687240 58829417653 117658835306 176488252959 235317670612 294147088265 352976505918 470635341224 588294176530 705953011836 882441264795 1000100100101 1176588353060 1411906023672 1764882529590 2000200200202 2353176706120 3000300300303 3529765059180 4000400400404 5000500500505 6000600600606 7059530118360 8000800800808 10001001001010 12001201201212 15001501501515 20002002002020 24002402402424 30003003003030 40004004004040 60006006006060 120012012012120