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12312101220000 = 25354205201687
BaseRepresentation
bin1011001100101010001001…
…1010110110111010100000
31121121000200111120210121220
42303022202122312322200
53103210140403020000
642104033510215040
72410343226424551
oct263124232667240
947530614523556
1012312101220000
113a1759518786a
12146a201954480
136b4045632baa
14307ca1d6a328
151653ecb961a0
hexb32a26b6ea0

12312101220000 has 120 divisors (see below), whose sum is σ = 40386154618656. Its totient is φ = 3283226976000.

The previous prime is 12312101219993. The next prime is 12312101220017. The reversal of 12312101220000 is 2210121321.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102540844 + ... + 102660843.

Almost surely, 212312101220000 is an apocalyptic number.

12312101220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312101220000 is an abundant number, since it is smaller than the sum of its proper divisors (28074053398656).

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

12312101220000 is an equidigital number, since it uses as much as digits as its factorization.

12312101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205201720 (or 205201697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12312101220000 its reverse (2210121321), we get a palindrome (12314311341321).

The spelling of 12312101220000 in words is "twelve trillion, three hundred twelve billion, one 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 205201687 410403374 615605061 820806748 1026008435 1231210122 1641613496 2052016870 2462420244 3078025305 3283226992 4104033740 4924840488 5130042175 6156050610 6566453984 8208067480 9849680976 10260084350 12312101220 15390126525 16416134960 19699361952 20520168700 24624202440 25650210875 30780253050 32832269920 41040337400 49248404880 51300421750 61560506100 76950632625 82080674800 98496809760 102600843500 123121012200 128251054375 153901265250 164161349600 205201687000 246242024400 256502108750 307802530500 384753163125 410403374000 492484048800 513004217500 615605061000 769506326250 820806748000 1026008435000 1231210122000 1539012652500 2052016870000 2462420244000 3078025305000 4104033740000 6156050610000 12312101220000