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22012122000 = 2435311333517
BaseRepresentation
bin10100100000000001…
…100101001110010000
32002211001200122201210
4110200001211032100
5330040100401000
614040124100120
71406323643541
oct244001451620
962731618653
1022012122000
1193762a6070
124323994640
1320ca50767b
1410cb6184c8
1588c725350
hex520065390

22012122000 has 160 divisors (see below), whose sum is σ = 77418866304. Its totient is φ = 5336256000.

The previous prime is 22012121939. The next prime is 22012122007. The reversal of 22012122000 is 22121022.

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

It is not an unprimeable number, because it can be changed into a prime (22012122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100759 + ... + 232758.

Almost surely, 222012122000 is an apocalyptic number.

22012122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012122000 is an abundant number, since it is smaller than the sum of its proper divisors (55406744304).

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

22012122000 is a wasteful number, since it uses less digits than its factorization.

22012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333554 (or 333538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22012122000 its reverse (22121022), we get a palindrome (22034243022).

The spelling of 22012122000 in words is "twenty-two billion, twelve million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 333517 667034 1000551 1334068 1667585 2001102 2668136 3335170 3668687 4002204 5002755 5336272 6670340 7337374 8004408 8337925 10005510 11006061 13340680 14674748 16008816 16675850 18343435 20011020 22012122 25013775 26681360 29349496 33351700 36686870 40022040 41689625 44024244 50027550 55030305 58698992 66703400 73373740 80044080 83379250 88048488 91717175 100055100 110060610 125068875 133406800 146747480 166758500 176096976 183434350 200110200 220121220 250137750 275151525 293494960 333517000 366868700 400220400 440242440 458585875 500275500 550303050 667034000 733737400 880484880 917171750 1000551000 1100606100 1375757625 1467474800 1834343500 2001102000 2201212200 2751515250 3668687000 4402424400 5503030500 7337374000 11006061000 22012122000