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120312412220 = 225711136009611
BaseRepresentation
bin111000000001100101…
…1011011100000111100
3102111112210000210111102
41300003023123200330
53432344434142340
6131134252312232
711456311426130
oct1600313334074
9374483023442
10120312412220
114702a247040
121b398472678
13b464b3c980
145b74a2b3c0
1531e2617215
hex1c032db83c

120312412220 has 96 divisors (see below), whose sum is σ = 339230578176. Its totient is φ = 34615353600.

The previous prime is 120312412219. The next prime is 120312412271. The reversal of 120312412220 is 22214213021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120312412192 and 120312412201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2984786 + ... + 3024825.

It is an arithmetic number, because the mean of its divisors is an integer number (3533651856).

Almost surely, 2120312412220 is an apocalyptic number.

120312412220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120312412220 is an abundant number, since it is smaller than the sum of its proper divisors (218918165956).

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

120312412220 is a wasteful number, since it uses less digits than its factorization.

120312412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009651 (or 6009649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120312412220 its reverse (22214213021), we get a palindrome (142526625241).

The spelling of 120312412220 in words is "one hundred twenty billion, three hundred twelve million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 6009611 12019222 24038444 30048055 42067277 60096110 66105721 78124943 84134554 120192220 132211442 156249886 168269108 210336385 264422884 312499772 330528605 390624715 420672770 462740047 546874601 661057210 781249430 841345540 859374373 925480094 1093749202 1322114420 1562498860 1718748746 1850960188 2187498404 2313700235 2734373005 3437497492 4296871865 4627400470 5468746010 6015620611 8593743730 9254800940 10937492020 12031241222 17187487460 24062482444 30078103055 60156206110 120312412220