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120214232112 = 243131923440849
BaseRepresentation
bin110111111110101010…
…0111001110000110000
3102111021221021201201010
41233331110321300300
53432144320411422
6131120424110520
711454010053552
oct1577524716060
9374257251633
10120214232112
1146a89888957
121b36b605440
13b44a6b5630
145b659914d2
1531d8bc1b0c
hex1bfd539c30

120214232112 has 160 divisors (see below), whose sum is σ = 367351488000. Its totient is φ = 33518555136.

The previous prime is 120214232087. The next prime is 120214232143. The reversal of 120214232112 is 211232412021.

It is a happy 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, 52264 + ... + 493112.

It is an arithmetic number, because the mean of its divisors is an integer number (2295946800).

Almost surely, 2120214232112 is an apocalyptic number.

120214232112 is a gapful number since it is divisible by the number (12) 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 120214232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183675744000).

120214232112 is an abundant number, since it is smaller than the sum of its proper divisors (247137255888).

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

120214232112 is a wasteful number, since it uses less digits than its factorization.

120214232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440915 (or 440909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120214232112 its reverse (211232412021), we get a palindrome (331446644133).

The spelling of 120214232112 in words is "one hundred twenty billion, two hundred fourteen million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 23 24 26 38 39 46 48 52 57 69 76 78 92 104 114 138 152 156 184 208 228 247 276 299 304 312 368 437 456 494 552 598 624 741 874 897 912 988 1104 1196 1311 1482 1748 1794 1976 2392 2622 2964 3496 3588 3952 4784 5244 5681 5928 6992 7176 10488 11362 11856 14352 17043 20976 22724 34086 45448 68172 90896 136344 272688 440849 881698 1322547 1763396 2645094 3526792 5290188 5731037 7053584 8376131 10139527 10580376 11462074 16752262 17193111 20279054 21160752 22924148 25128393 30418581 33504524 34386222 40558108 45848296 50256786 60837162 67009048 68772444 81116216 91696592 100513572 108889703 121674324 131813851 134018096 137544888 162232432 192651013 201027144 217779406 243348648 263627702 275089776 326669109 385302026 395441553 402054288 435558812 486697296 527255404 577953039 653338218 770604052 790883106 871117624 1054510808 1155906078 1306676436 1541208104 1581766212 1742235248 2109021616 2311812156 2504463169 2613352872 3082416208 3163532424 4623624312 5008926338 5226705744 6327064848 7513389507 9247248624 10017852676 15026779014 20035705352 30053558028 40071410704 60107116056 120214232112