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12011221566216 = 2333139400054009
BaseRepresentation
bin1010111011001001010010…
…0110000100001100001000
31120112021001200102201202000
42232302110212010030020
53033242440210104331
641313513511111000
72346532160524005
oct256622446041410
946467050381660
1012011221566216
113910a26495674
12141ba31972460
136918654b27b2
142d74bc0868ac
1515c68d1790e6
hexaec94984308

12011221566216 has 64 divisors (see below), whose sum is σ = 33604536840000. Its totient is φ = 3974936623488.

The previous prime is 12011221566131. The next prime is 12011221566269. The reversal of 12011221566216 is 61266512211021.

12011221566216 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 2 + 21 + 5 + 6 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 199996981 + ... + 200057028.

It is an arithmetic number, because the mean of its divisors is an integer number (525070888125).

Almost surely, 212011221566216 is an apocalyptic number.

It is an amenable number.

12011221566216 is an abundant number, since it is smaller than the sum of its proper divisors (21593315273784).

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

12011221566216 is a wasteful number, since it uses less digits than its factorization.

12011221566216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400054163 (or 400054153 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 12011221566216 its reverse (61266512211021), we get a palindrome (73277733777237).

The spelling of 12011221566216 in words is "twelve trillion, eleven billion, two hundred twenty-one million, five hundred sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 5004 7506 10008 15012 30024 400054009 800108018 1200162027 1600216036 2400324054 3200432072 3600486081 4800648108 7200972162 9601296216 10801458243 14401944324 21602916486 28803888648 43205832972 55607507251 86411665944 111215014502 166822521753 222430029004 333645043506 444860058008 500467565259 667290087012 1000935130518 1334580174024 1501402695777 2001870261036 3002805391554 4003740522072 6005610783108 12011221566216