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123241224121120 = 25572103152616931
BaseRepresentation
bin11100000001011001010101…
…011000101010101100100000
3121011100202010210210022212201
4130001121111120222230200
5112123141011333333440
61114040123050302544
734646612264506300
oct3401312530525440
9534322123708781
10123241224121120
11362a5345140476
12119a4b84727a54
13539c79cb19901
142260c9b023600
15e3abc150819a
hex70165562ab20

123241224121120 has 144 divisors (see below), whose sum is σ = 341981579354688. Its totient is φ = 41843899399680.

The previous prime is 123241224121097. The next prime is 123241224121159. The reversal of 123241224121120 is 21121422142321.

It is a happy number.

123241224121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75500946 + ... + 77115985.

It is an arithmetic number, because the mean of its divisors is an integer number (2374872078852).

Almost surely, 2123241224121120 is an apocalyptic number.

123241224121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123241224121120 is an abundant number, since it is smaller than the sum of its proper divisors (218740355233568).

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

123241224121120 is a wasteful number, since it uses less digits than its factorization.

123241224121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152617063 (or 152617048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 123241224121120 its reverse (21121422142321), we get a palindrome (144362646263441).

The spelling of 123241224121120 in words is "one hundred twenty-three trillion, two hundred forty-one billion, two hundred twenty-four million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 103 112 140 160 196 206 224 245 280 392 412 490 515 560 721 784 824 980 1030 1120 1442 1568 1648 1960 2060 2884 3296 3605 3920 4120 5047 5768 7210 7840 8240 10094 11536 14420 16480 20188 23072 25235 28840 40376 50470 57680 80752 100940 115360 161504 201880 403760 807520 152616931 305233862 610467724 763084655 1068318517 1220935448 1526169310 2136637034 2441870896 3052338620 4273274068 4883741792 5341592585 6104677240 7478229619 8546548136 10683185170 12209354480 14956459238 15719543893 17093096272 21366370340 24418708960 29912918476 31439087786 34186192544 37391148095 42732740680 59825836952 62878175572 74782296190 78597719465 85465481360 110036807251 119651673904 125756351144 149564592380 157195438930 170930962720 220073614502 239303347808 251512702288 299129184760 314390877860 440147229004 503025404576 550184036255 598258369520 628781755720 770257650757 880294458008 1100368072510 1196516739040 1257563511440 1540515301514 1760588916016 2200736145020 2515127022880 3081030603028 3521177832032 3851288253785 4401472290040 6162061206056 7702576507570 8802944580080 12324122412112 15405153015140 17605889160160 24648244824224 30810306030280 61620612060560 123241224121120