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120221222122120 = 23576124129206279
BaseRepresentation
bin11011010101011100101111…
…001111010011001010001000
3120202200000222200020020001211
4123111130233033103022020
5111224201030330401440
61103404511134422504
734215460646201260
oct3325345717231210
9522600880206054
10120221222122120
11353405967aa909
1211597818061a34
135210a74392252
142198a498847a0
15dd736aca0eea
hex6d572f3d3288

120221222122120 has 128 divisors (see below), whose sum is σ = 315511938086400. Its totient is φ = 40374758707200.

The previous prime is 120221222122117. The next prime is 120221222122139. The reversal of 120221222122120 is 21221222122021.

It is a super-2 number, since 2×1202212221221202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120221222122091 and 120221222122100.

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, 10486860 + ... + 18719419.

It is an arithmetic number, because the mean of its divisors is an integer number (2464937016300).

Almost surely, 2120221222122120 is an apocalyptic number.

120221222122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221222122120 is an abundant number, since it is smaller than the sum of its proper divisors (195290715964280).

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

120221222122120 is a wasteful number, since it uses less digits than its factorization.

120221222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29206599 (or 29206595 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 120221222122120 its reverse (21221222122021), we get a palindrome (141442444244141).

Subtracting from 120221222122120 its reverse (21221222122021), we obtain a palindrome (99000000000099).

The spelling of 120221222122120 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 241 244 280 305 427 482 488 610 854 964 1205 1220 1687 1708 1928 2135 2410 2440 3374 3416 4270 4820 6748 8435 8540 9640 13496 14701 16870 17080 29402 33740 58804 67480 73505 102907 117608 147010 205814 294020 411628 514535 588040 823256 1029070 2058140 4116280 29206279 58412558 116825116 146031395 204443953 233650232 292062790 408887906 584125580 817775812 1022219765 1168251160 1635551624 1781583019 2044439530 3563166038 4088879060 7038713239 7126332076 8177758120 8907915095 12471081133 14077426478 14252664152 17815830190 24942162266 28154852956 35193566195 35631660380 49270992673 49884324532 56309705912 62355405665 70387132390 71263320760 98541985346 99768649064 124710811330 140774264780 197083970692 246354963365 249421622660 281548529560 394167941384 429361507579 492709926730 498843245320 858723015158 985419853460 1717446030316 1970839706920 2146807537895 3005530553053 3434892060632 4293615075790 6011061106106 8587230151580 12022122212212 15027652765265 17174460303160 24044244424424 30055305530530 60110611061060 120221222122120