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12212120000 = 26541717959
BaseRepresentation
bin10110101111110011…
…00010100111000000
31011112002020222021202
423113321202213000
5200002300320000
65335444040332
7611425210253
oct132771424700
934462228252
1012212120000
1151a7472563
1224499930a8
1311c80a3612
1483bc7709a
154b71c0dd5
hex2d7e629c0

12212120000 has 140 divisors (see below), whose sum is σ = 32065173360. Its totient is φ = 4597248000.

The previous prime is 12212119981. The next prime is 12212120003. The reversal of 12212120000 is 2121221.

It is a happy number.

12212120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 671021 + ... + 688979.

Almost surely, 212212120000 is an apocalyptic number.

12212120000 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 12212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16032586680).

12212120000 is an abundant number, since it is smaller than the sum of its proper divisors (19853053360).

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

12212120000 is an equidigital number, since it uses as much as digits as its factorization.

12212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18008 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12212120000 its reverse (2121221), we get a palindrome (12214241221).

The spelling of 12212120000 in words is "twelve billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 17959 20000 21250 27200 34000 35918 40000 42500 68000 71836 85000 89795 136000 143672 170000 179590 287344 305303 340000 359180 448975 574688 610606 680000 718360 897950 1149376 1221212 1436720 1526515 1795900 2244875 2442424 2873440 3053030 3591800 4489750 4884848 5746880 6106060 7183600 7632575 8979500 9769696 11224375 12212120 14367200 15265150 17959000 19539392 22448750 24424240 28734400 30530300 35918000 38162875 44897500 48848480 61060600 71836000 76325750 89795000 97696960 122121200 143672000 152651500 179590000 190814375 244242400 305303000 359180000 381628750 488484800 610606000 718360000 763257500 1221212000 1526515000 2442424000 3053030000 6106060000 12212120000