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12201200000100 = 2233524518962963
BaseRepresentation
bin1011000110001101000000…
…1100010001110001100100
31121012102102121101002222000
42301203100030101301210
53044401024200000400
641541053124205300
72366336052545046
oct261432014216144
947172377332860
1012201200000100
113984555351921
121450811239830
136a6750503297
143027811cda96
151625ab8d0600
hexb18d0311c64

12201200000100 has 72 divisors (see below), whose sum is σ = 39224598527520. Its totient is φ = 3253653332640.

The previous prime is 12201200000081. The next prime is 12201200000107. The reversal of 12201200000100 is 100000210221.

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

It is not an unprimeable number, because it can be changed into a prime (12201200000107) 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 23 ways as a sum of consecutive naturals, for example, 2259478782 + ... + 2259484181.

It is an arithmetic number, because the mean of its divisors is an integer number (544786090660).

Almost surely, 212201200000100 is an apocalyptic number.

12201200000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201200000100 is an abundant number, since it is smaller than the sum of its proper divisors (27023398527420).

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

12201200000100 is a wasteful number, since it uses less digits than its factorization.

12201200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518962986 (or 4518962973 counting only the distinct ones).

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

Adding to 12201200000100 its reverse (100000210221), we get a palindrome (12301200210321).

The spelling of 12201200000100 in words is "twelve trillion, two hundred one billion, two hundred 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 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4518962963 9037925926 13556888889 18075851852 22594814815 27113777778 40670666667 45189629630 54227555556 67784444445 81341333334 90379259260 112974074075 122012000001 135568888890 162682666668 203353333335 225948148150 244024000002 271137777780 338922222225 406706666670 451896296300 488048000004 610060000005 677844444450 813413333340 1016766666675 1220120000010 1355688888900 2033533333350 2440240000020 3050300000025 4067066666700 6100600000050 12201200000100