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12202212120 = 2335722365141
BaseRepresentation
bin10110101110100111…
…01111101100011000
31011111101121121020020
423113103233230120
5144442231241440
65334451430440
7611245043310
oct132723575430
934441547206
1012202212120
1151a191562a
1224465b5420
1311c6014977
1483a818440
154b63b53d0
hex2d74efb18

12202212120 has 128 divisors (see below), whose sum is σ = 42024407040. Its totient is φ = 2776527360.

The previous prime is 12202212073. The next prime is 12202212133. The reversal of 12202212120 is 2121220221.

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 12202212120.

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, 154750 + ... + 219890.

It is an arithmetic number, because the mean of its divisors is an integer number (328315680).

Almost surely, 212202212120 is an apocalyptic number.

12202212120 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 12202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012203520).

12202212120 is an abundant number, since it is smaller than the sum of its proper divisors (29822194920).

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

12202212120 is a wasteful number, since it uses less digits than its factorization.

12202212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65385 (or 65381 counting only the distinct ones).

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

Adding to 12202212120 its reverse (2121220221), we get a palindrome (14323432341).

The spelling of 12202212120 in words is "twelve billion, two hundred two million, two hundred twelve thousand, one 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 84 105 120 140 168 210 223 280 420 446 669 840 892 1115 1338 1561 1784 2230 2676 3122 3345 4460 4683 5352 6244 6690 7805 8920 9366 12488 13380 15610 18732 23415 26760 31220 37464 46830 62440 65141 93660 130282 187320 195423 260564 325705 390846 455987 521128 651410 781692 911974 977115 1302820 1367961 1563384 1823948 1954230 2279935 2605640 2735922 3647896 3908460 4559870 5471844 6839805 7816920 9119740 10943688 13679610 14526443 18239480 27359220 29052886 43579329 54718440 58105772 72632215 87158658 101685101 116211544 145264430 174317316 203370202 217896645 290528860 305055303 348634632 406740404 435793290 508425505 581057720 610110606 813480808 871586580 1016851010 1220221212 1525276515 1743173160 2033702020 2440442424 3050553030 4067404040 6101106060 12202212120