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12200012000100 = 223552502058107
BaseRepresentation
bin1011000110001000100101…
…1000011010101101100100
31121012022100210221110100000
42301202021120122231210
53044341111033000400
641540335205221300
72366264445656151
oct261421130325544
947168323843300
1012200012000100
113983aa57a1941
12145053b401830
136a65c1350ac2
143026ab505228
1516253c465600
hexb188961ab64

12200012000100 has 108 divisors (see below), whose sum is σ = 39656565834704. Its totient is φ = 3253336526880.

The previous prime is 12200012000093. The next prime is 12200012000123. The reversal of 12200012000100 is 100021000221.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 251004754 + ... + 251053353.

Almost surely, 212200012000100 is an apocalyptic number.

12200012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200012000100 is an abundant number, since it is smaller than the sum of its proper divisors (27456553834604).

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

12200012000100 is a wasteful number, since it uses less digits than its factorization.

12200012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502058136 (or 502058117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200012000100 its reverse (100021000221), we get a palindrome (12300033000321).

The spelling of 12200012000100 in words is "twelve trillion, two hundred billion, twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 502058107 1004116214 1506174321 2008232428 2510290535 3012348642 4518522963 5020581070 6024697284 7530871605 9037045926 10041162140 12551452675 13555568889 15061743210 18074091852 22592614815 25102905350 27111137778 30123486420 37654358025 40666706667 45185229630 50205810700 54222275556 67777844445 75308716050 81333413334 90370459260 112963074075 122000120001 135555688890 150617432100 162666826668 203333533335 225926148150 244000240002 271111377780 338889222225 406667066670 451852296300 488000480004 610000600005 677778444450 813334133340 1016667666675 1220001200010 1355556888900 2033335333350 2440002400020 3050003000025 4066670666700 6100006000050 12200012000100