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12120222120 = 2335732834889
BaseRepresentation
bin10110100100110101…
…11110100110101000
31011021200100002002120
423102122332212220
5144310234101440
65322402231240
7606231121356
oct132232764650
934250302076
1012120222120
11515a6052a6
122423055520
1311b2038886
1482d9947d6
154ae0bbdd0
hex2d26be9a8

12120222120 has 128 divisors (see below), whose sum is σ = 36996566400. Its totient is φ = 3175870464.

The previous prime is 12120222109. The next prime is 12120222137. The reversal of 12120222120 is 2122202121.

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 12120222120.

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, 2476636 + ... + 2481524.

It is an arithmetic number, because the mean of its divisors is an integer number (289035675).

Almost surely, 212120222120 is an apocalyptic number.

12120222120 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 12120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498283200).

12120222120 is an abundant number, since it is smaller than the sum of its proper divisors (24876344280).

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

12120222120 is a wasteful number, since it uses less digits than its factorization.

12120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12120222120 its reverse (2122202121), we get a palindrome (14242424241).

The spelling of 12120222120 in words is "twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 283 292 365 438 566 584 730 849 876 1095 1132 1415 1460 1698 1752 2190 2264 2830 2920 3396 4245 4380 4889 5660 6792 8490 8760 9778 11320 14667 16980 19556 20659 24445 29334 33960 39112 41318 48890 58668 61977 73335 82636 97780 103295 117336 123954 146670 165272 195560 206590 247908 293340 309885 356897 413180 495816 586680 619770 713794 826360 1070691 1239540 1383587 1427588 1784485 2141382 2479080 2767174 2855176 3568970 4150761 4282764 5353455 5534348 6917935 7137940 8301522 8565528 10706910 11068696 13835870 14275880 16603044 20753805 21413820 27671740 33206088 41507610 42827640 55343480 83015220 101001851 166030440 202003702 303005553 404007404 505009255 606011106 808014808 1010018510 1212022212 1515027765 2020037020 2424044424 3030055530 4040074040 6060111060 12120222120