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120012220112112 = 243217238920520971
BaseRepresentation
bin11011010010011010000101…
…101111111001110011110000
3120201221001111222002001100100
4123102122011233321303300
5111212240011322041422
61103124504112152400
734164411456342156
oct3322320557716360
9521831458061310
10120012220112112
113526a9955a5319
1211563209838700
1351c714706ac43
14218c89ddc73d6
15dd1bd73a47ac
hex6d2685bf9cf0

120012220112112 has 120 divisors (see below), whose sum is σ = 355773322822320. Its totient is φ = 37635130644480.

The previous prime is 120012220112047. The next prime is 120012220112159. The reversal of 120012220112112 is 211211022210021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412214 + ... + 16108757.

It is an arithmetic number, because the mean of its divisors is an integer number (2964777690186).

Almost surely, 2120012220112112 is an apocalyptic number.

120012220112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012220112112 is an abundant number, since it is smaller than the sum of its proper divisors (235761102710208).

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

120012220112112 is a wasteful number, since it uses less digits than its factorization.

120012220112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20523391 (or 20523382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120012220112112 its reverse (211211022210021), we get a palindrome (331223242322133).

The spelling of 120012220112112 in words is "one hundred twenty trillion, twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2389 2448 4778 7167 9556 14334 19112 21501 28668 38224 40613 43002 57336 81226 86004 114672 121839 162452 172008 243678 324904 344016 365517 487356 649808 731034 974712 1462068 1949424 2924136 5848272 20520971 41041942 61562913 82083884 123125826 164167768 184688739 246251652 328335536 348856507 369377478 492503304 697713014 738754956 985006608 1046569521 1395426028 1477509912 2093139042 2790852056 2955019824 3139708563 4186278084 5581704112 6279417126 8372556168 12558834252 16745112336 25117668504 49024599719 50235337008 98049199438 147073799157 196098398876 294147598314 392196797752 441221397471 588295196628 784393595504 833418195223 882442794942 1176590393256 1666836390446 1764885589884 2353180786512 2500254585669 3333672780892 3529771179768 5000509171338 6667345561784 7059542359536 7500763757007 10001018342676 13334691123568 15001527514014 20002036685352 30003055028028 40004073370704 60006110056056 120012220112112