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120312002320 = 24559252110111
BaseRepresentation
bin111000000001100100…
…1110111011100010000
3102111112202020222012221
41300003021313130100
53432344333033240
6131134235430424
711456305101106
oct1600311673420
9374482228187
10120312002320
1147029a97084
121b3982b5414
13b464a28223
145b74961c76
1531e2585a4a
hex1c03277710

120312002320 has 80 divisors (see below), whose sum is σ = 284607498240. Its totient is φ = 47285683200.

The previous prime is 120312002303. The next prime is 120312002341. The reversal of 120312002320 is 23200213021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120312002294 and 120312002303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11894065 + ... + 11904175.

It is an arithmetic number, because the mean of its divisors is an integer number (3557593728).

Almost surely, 2120312002320 is an apocalyptic number.

120312002320 is a gapful number since it is divisible by the number (10) 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 120312002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142303749120).

120312002320 is an abundant number, since it is smaller than the sum of its proper divisors (164295495920).

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

120312002320 is a wasteful number, since it uses less digits than its factorization.

120312002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120312002320 its reverse (23200213021), we get a palindrome (143512215341).

The spelling of 120312002320 in words is "one hundred twenty billion, three hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2521 4720 5042 10084 10111 12605 20168 20222 25210 40336 40444 50420 50555 80888 100840 101110 148739 161776 201680 202220 297478 404440 594956 596549 743695 808880 1189912 1193098 1487390 2379824 2386196 2974780 2982745 4772392 5949560 5965490 9544784 11899120 11930980 23861960 25489831 47723920 50979662 101959324 127449155 203918648 254898310 407837296 509796620 1019593240 1503900029 2039186480 3007800058 6015600116 7519500145 12031200232 15039000290 24062400464 30078000580 60156001160 120312002320