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120202021111120 = 24513293394467121
BaseRepresentation
bin11011010101001010110110…
…110001010000010101010000
3120202121012102112010210200021
4123111022312301100111100
5111223342214401023440
61103352013550233224
734214211065250334
oct3325126661202520
9522535375123607
10120202021111120
1135333433291083
1211593b597b5814
13520c0043a5290
142197b477437c4
15dd6ae525c84a
hex6d52b6c50550

120202021111120 has 80 divisors (see below), whose sum is σ = 301994561392272. Its totient is φ = 44230809231360.

The previous prime is 120202021111049. The next prime is 120202021111153. The reversal of 120202021111120 is 21111120202021.

120202021111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8711989785664 + 111490031325456 = 2951608^2 + 10558884^2 .

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 = 120202021111094 and 120202021111103.

It is a congruent number.

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, 196928841 + ... + 197538280.

Almost surely, 2120202021111120 is an apocalyptic number.

120202021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202021111120 is an abundant number, since it is smaller than the sum of its proper divisors (181792540281152).

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

120202021111120 is a wasteful number, since it uses less digits than its factorization.

120202021111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394467440 (or 394467434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120202021111120 its reverse (21111120202021), we get a palindrome (141313141313141).

Subtracting from 120202021111120 its reverse (21111120202021), we obtain a palindrome (99090900909099).

The spelling of 120202021111120 in words is "one hundred twenty trillion, two hundred two billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 293 520 586 1040 1172 1465 2344 2930 3809 4688 5860 7618 11720 15236 19045 23440 30472 38090 60944 76180 152360 304720 394467121 788934242 1577868484 1972335605 3155736968 3944671210 5128072573 6311473936 7889342420 10256145146 15778684840 20512290292 25640362865 31557369680 41024580584 51280725730 82049161168 102561451460 115578866453 205122902920 231157732906 410245805840 462315465812 577894332265 924630931624 1155788664530 1502525263889 1849261863248 2311577329060 3005050527778 4623154658120 6010101055556 7512626319445 9246309316240 12020202111112 15025252638890 24040404222224 30050505277780 60101010555560 120202021111120