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12200001000012 = 2232748412702381
BaseRepresentation
bin1011000110001000100010…
…1110011101001001001100
31121012022100001020121001100
42301202020232131021030
53044341100224000022
641540334133343100
72366264253323010
oct261421056351114
947168301217040
1012200001000012
113983a9a569361
121450537797a90
136a65bbc9bc87
143026a9c80540
1516253b4e11ac
hexb1888b9d24c

12200001000012 has 36 divisors (see below), whose sum is σ = 35244447334096. Its totient is φ = 3485714571360.

The previous prime is 12200000999983. The next prime is 12200001000043. The reversal of 12200001000012 is 21000010000221.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12200000999958 and 12200001000003.

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 11 ways as a sum of consecutive naturals, for example, 24206350939 + ... + 24206351442.

Almost surely, 212200001000012 is an apocalyptic number.

12200001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200001000012 is an abundant number, since it is smaller than the sum of its proper divisors (23044446334084).

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

12200001000012 is a wasteful number, since it uses less digits than its factorization.

12200001000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48412702398 (or 48412702393 counting only the distinct ones).

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

Adding to 12200001000012 its reverse (21000010000221), we get a palindrome (33200011000233).

The spelling of 12200001000012 in words is "twelve trillion, two hundred billion, one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48412702381 96825404762 145238107143 193650809524 290476214286 338888916667 435714321429 580952428572 677777833334 871428642858 1016666750001 1355555666668 1742857285716 2033333500002 3050000250003 4066667000004 6100000500006 12200001000012