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12212100120 = 23351137250043
BaseRepresentation
bin10110101111110010…
…11101110000011000
31011112002012222000110
423113321131300120
5200002244200440
65335443404320
7611425065303
oct132771356030
934462188013
1012212100120
1151a7459630
1224499836a0
1311c809755c
1483bc6db3a
154b71ba080
hex2d7e5dc18

12212100120 has 128 divisors (see below), whose sum is σ = 41047223040. Its totient is φ = 2880483840.

The previous prime is 12212100097. The next prime is 12212100149. The reversal of 12212100120 is 2100121221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12212100096 and 12212100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76182 + ... + 173861.

It is an arithmetic number, because the mean of its divisors is an integer number (320681430).

Almost surely, 212212100120 is an apocalyptic number.

12212100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212100120 is an abundant number, since it is smaller than the sum of its proper divisors (28835122920).

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

12212100120 is a wasteful number, since it uses less digits than its factorization.

12212100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250105 (or 250101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212100120 its reverse (2100121221), we get a palindrome (14312221341).

The spelling of 12212100120 in words is "twelve billion, two hundred twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 250043 500086 750129 1000172 1250215 1500258 2000344 2500430 2750473 3000516 3750645 5000860 5500946 6001032 7501290 8251419 9251591 10001720 11001892 13752365 15002580 16502838 18503182 22003784 27504730 27754773 30005160 33005676 37006364 41257095 46257955 55009460 55509546 66011352 74012728 82514190 92515910 101767501 110018920 111019092 138773865 165028380 185031820 203535002 222038184 277547730 305302503 330056760 370063640 407070004 508837505 555095460 610605006 814140008 1017675010 1110190920 1221210012 1526512515 2035350020 2442420024 3053025030 4070700040 6106050060 12212100120