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12120211320 = 23357127711299
BaseRepresentation
bin10110100100110101…
…11011111101111000
31011021200022112021120
423102122323331320
5144310233230240
65322402105240
7606231045030
oct132232737570
934250275246
1012120211320
11515a5a8178
12242304b220
1311b2033999
1482d9908c0
154ae0b8ad0
hex2d26bbf78

12120211320 has 128 divisors (see below), whose sum is σ = 41591232000. Its totient is φ = 2767919616.

The previous prime is 12120211277. The next prime is 12120211331. The reversal of 12120211320 is 2311202121.

It is a super-2 number, since 2×121202113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067031 + ... + 1078329.

It is an arithmetic number, because the mean of its divisors is an integer number (324931500).

Almost surely, 212120211320 is an apocalyptic number.

12120211320 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 12120211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795616000).

12120211320 is an abundant number, since it is smaller than the sum of its proper divisors (29471020680).

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

12120211320 is a wasteful number, since it uses less digits than its factorization.

12120211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12120211320 its reverse (2311202121), we get a palindrome (14431413441).

The spelling of 12120211320 in words is "twelve billion, one hundred twenty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1277 2554 3831 5108 6385 7662 8939 10216 11299 12770 15324 17878 19155 22598 25540 26817 30648 33897 35756 38310 44695 45196 51080 53634 56495 67794 71512 76620 79093 89390 90392 107268 112990 134085 135588 153240 158186 169485 178780 214536 225980 237279 268170 271176 316372 338970 357560 395465 451960 474558 536340 632744 677940 790930 949116 1072680 1186395 1355880 1581860 1898232 2372790 3163720 4745580 9491160 14428823 28857646 43286469 57715292 72144115 86572938 101001761 115430584 144288230 173145876 202003522 216432345 288576460 303005283 346291752 404007044 432864690 505008805 577152920 606010566 808014088 865729380 1010017610 1212021132 1515026415 1731458760 2020035220 2424042264 3030052830 4040070440 6060105660 12120211320