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120212002120 = 23571931728911
BaseRepresentation
bin110111111110100110…
…0011001010101001000
3102111021210002102201211
41233331030121111020
53432143233031440
6131120304222504
711453652105250
oct1577514312510
9374253072654
10120212002120
1146a885a5491
121b36a90aa34
13b44a0b4602
145b65570960
1531d88d0eea
hex1bfd319548

120212002120 has 128 divisors (see below), whose sum is σ = 335882649600. Its totient is φ = 37786694400.

The previous prime is 120212002109. The next prime is 120212002121. The reversal of 120212002120 is 21200212021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120212002120.

It is not an unprimeable number, because it can be changed into a prime (120212002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199536 + ... + 529375.

It is an arithmetic number, because the mean of its divisors is an integer number (2624083200).

Almost surely, 2120212002120 is an apocalyptic number.

120212002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212002120 is an abundant number, since it is smaller than the sum of its proper divisors (215670647480).

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

120212002120 is a wasteful number, since it uses less digits than its factorization.

120212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728979 (or 728975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212002120 its reverse (21200212021), we get a palindrome (141412214141).

The spelling of 120212002120 in words is "one hundred twenty billion, two hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1064 1085 1178 1240 1330 1736 2170 2356 2660 2945 4123 4340 4712 5320 5890 8246 8680 11780 16492 20615 23560 32984 41230 82460 164920 728911 1457822 2915644 3644555 5102377 5831288 7289110 10204754 13849309 14578220 20409508 22596241 25511885 27698618 29156440 40819016 45192482 51023770 55397236 69246545 90384964 96945163 102047540 110794472 112981205 138493090 158173687 180769928 193890326 204095080 225962410 276986180 316347374 387780652 429328579 451924820 484725815 553972360 632694748 775561304 790868435 858657158 903849640 969451630 1265389496 1581736870 1717314316 1938903260 2146642895 3005300053 3163473740 3434628632 3877806520 4293285790 6010600106 6326947480 8586571580 12021200212 15026500265 17173143160 24042400424 30053000530 60106001060 120212002120