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12011020012200 = 23352112232312743
BaseRepresentation
bin1010111011001000100010…
…0101001100101010101000
31120112020112122011201121110
42232302020211030222220
53033242032110342300
641313441511110320
72346524162404656
oct256621045145250
946466478151543
1012011020012200
113910932741100
12141b9963723a0
13691832803071
142d749d3bbdd6
1515c67a614550
hexaec8894caa8

12011020012200 has 432 divisors, whose sum is σ = 42783735728160. Its totient is φ = 2785155155200.

The previous prime is 12011020012151. The next prime is 12011020012213. The reversal of 12011020012200 is 221002011021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 107 ways as a sum of consecutive naturals, for example, 38249029 + ... + 38561771.

Almost surely, 212011020012200 is an apocalyptic number.

12011020012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011020012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391867864080).

12011020012200 is an abundant number, since it is smaller than the sum of its proper divisors (30772715715960).

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

12011020012200 is a wasteful number, since it uses less digits than its factorization.

12011020012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312830 (or 312787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011020012200 its reverse (221002011021), we get a palindrome (12232022023221).

The spelling of 12011020012200 in words is "twelve trillion, eleven billion, twenty million, twelve thousand, two hundred".