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120120110020020 = 223511618712941607
BaseRepresentation
bin11011010011111110100100…
…011111001111010110110100
3120202022100222222222020112110
4123103332210133033112310
5111221021441131120040
61103250230003251020
734205251206413505
oct3323764437172664
9522270888866473
10120120110020020
113530171a643a70
12115800b9979a70
13520437c355536
142193bb6c54bac
15dd48ee0de980
hex6d3fa47cf5b4

120120110020020 has 96 divisors (see below), whose sum is σ = 366918391074816. Its totient is φ = 29119546115200.

The previous prime is 120120110020007. The next prime is 120120110020033. The reversal of 120120110020020 is 20020011021021.

It is an interprime number because it is at equal distance from previous prime (120120110020007) and next prime (120120110020033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120120110019978 and 120120110020005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39364057 + ... + 42305663.

It is an arithmetic number, because the mean of its divisors is an integer number (3822066573696).

Almost surely, 2120120110020020 is an apocalyptic number.

120120110020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120110020020 is an abundant number, since it is smaller than the sum of its proper divisors (246798281054796).

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

120120110020020 is a wasteful number, since it uses less digits than its factorization.

120120110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003501 (or 3003499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120110020020 its reverse (20020011021021), we get a palindrome (140140121041041).

The spelling of 120120110020020 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 61871 123742 185613 247484 309355 371226 618710 680581 742452 928065 1237420 1361162 1856130 2041743 2722324 2941607 3402905 3712260 4083486 5883214 6805810 8166972 8824821 10208715 11766428 13611620 14708035 17649642 20417430 29416070 32357677 35299284 40834860 44124105 58832140 64715354 88248210 97073031 129430708 161788385 176496420 194146062 323576770 388292124 485365155 647153540 970730310 1941460620 182000166697 364000333394 546000500091 728000666788 910000833485 1092001000182 1820001666970 2002001833667 2184002000364 2730002500455 3640003333940 4004003667334 5460005000910 6006005501001 8008007334668 10010009168335 10920010001820 12012011002002 20020018336670 24024022004004 30030027505005 40040036673340 60060055010010 120120110020020