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21122201220000 = 25354352036687
BaseRepresentation
bin1001100110101111001010…
…10011001111001110100000
32202210021002112001002210220
410303113211103033032200
510232031232003020000
6112531223312523040
74310012560013226
oct463274523171640
982707075032726
1021122201220000
116803969a30231
12245175a550480
13ba2a7980467a
1453046a0c4b16
152696849611a0
hex1335e54cf3a0

21122201220000 has 120 divisors (see below), whose sum is σ = 69285044638656. Its totient is φ = 5632586976000.

The previous prime is 21122201219989. The next prime is 21122201220037. The reversal of 21122201220000 is 2210222112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211222012200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175958344 + ... + 176078343.

Almost surely, 221122201220000 is an apocalyptic number.

21122201220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122201220000 is an abundant number, since it is smaller than the sum of its proper divisors (48162843418656).

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

21122201220000 is an equidigital number, since it uses as much as digits as its factorization.

21122201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352036720 (or 352036697 counting only the distinct ones).

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

Adding to 21122201220000 its reverse (2210222112), we get a palindrome (21124411442112).

The spelling of 21122201220000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 352036687 704073374 1056110061 1408146748 1760183435 2112220122 2816293496 3520366870 4224440244 5280550305 5632586992 7040733740 8448880488 8800917175 10561100610 11265173984 14081467480 16897760976 17601834350 21122201220 26402751525 28162934960 33795521952 35203668700 42244402440 44004585875 52805503050 56325869920 70407337400 84488804880 88009171750 105611006100 132013757625 140814674800 168977609760 176018343500 211222012200 220022929375 264027515250 281629349600 352036687000 422444024400 440045858750 528055030500 660068788125 704073374000 844888048800 880091717500 1056110061000 1320137576250 1408146748000 1760183435000 2112220122000 2640275152500 3520366870000 4224440244000 5280550305000 7040733740000 10561100610000 21122201220000