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12200001000020 = 2254335095574969
BaseRepresentation
bin1011000110001000100010…
…1110011101001001010100
31121012022100001020121001122
42301202020232131021110
53044341100224000040
641540334133343112
72366264253323021
oct261421056351124
947168301217048
1012200001000020
113983a9a569369
121450537797a98
136a65bbc9bc92
143026a9c80548
1516253b4e11b5
hexb1888b9d254

12200001000020 has 96 divisors (see below), whose sum is σ = 25781001472800. Its totient is φ = 4849464950784.

The previous prime is 12200000999983. The next prime is 12200001000043. The reversal of 12200001000020 is 2000010000221.

It can be written as a sum of positive squares in 16 ways, for example, as 7705931713936 + 4494069286084 = 2775956^2 + 2119922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12200000999971 and 12200001000007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2455220096 + ... + 2455225064.

It is an arithmetic number, because the mean of its divisors is an integer number (268552098675).

Almost surely, 212200001000020 is an apocalyptic number.

12200001000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200001000020 is an abundant number, since it is smaller than the sum of its proper divisors (13581000472780).

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

12200001000020 is a wasteful number, since it uses less digits than its factorization.

12200001000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6475 counting only the distinct ones).

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

Adding to 12200001000020 its reverse (2000010000221), we get a palindrome (14200011000241).

The spelling of 12200001000020 in words is "twelve trillion, two hundred billion, one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 433 509 557 866 1018 1114 1732 2036 2165 2228 2545 2785 4330 4969 5090 5570 8660 9938 10180 11140 19876 24845 49690 99380 220397 241181 283513 440794 482362 567026 881588 964724 1101985 1134052 1205905 1417565 2151577 2203970 2411810 2529221 2767733 2835130 4303154 4407940 4823620 5058442 5535466 5670260 8606308 10116884 10757885 11070932 12646105 13838665 21515770 25292210 27677330 43031540 50584420 55354660 122761129 245522258 491044516 613805645 1095152693 1198428389 1227611290 1408776097 2190305386 2396856778 2455222580 2817552194 4380610772 4793713556 5475763465 5635104388 5992141945 7043880485 10951526930 11984283890 14087760970 21903053860 23968567780 28175521940 610000050001 1220000100002 2440000200004 3050000250005 6100000500010 12200001000020