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12012100012112 = 241889397435813
BaseRepresentation
bin1010111011001100100011…
…1101000100100001010000
31120112100022220101101222012
42232303020331010201100
53033301240100341422
641314141011202052
72346563015301524
oct256631075044120
946470286341865
1012012100012112
113911337336012
121420037ba6328
136919754a0575
142d75629d1d84
1515c6e03494e2
hexaecc8f44850

12012100012112 has 20 divisors (see below), whose sum is σ = 23285764342260. Its totient is φ = 6002870504448.

The previous prime is 12012100012057. The next prime is 12012100012217. The reversal of 12012100012112 is 21121000121021.

It can be written as a sum of positive squares in 2 ways, for example, as 9162026749456 + 2850073262656 = 3026884^2 + 1688216^2 .

It is a super-3 number, since 3×120121000121123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 198687683 + ... + 198748130.

It is an arithmetic number, because the mean of its divisors is an integer number (1164288217113).

Almost surely, 212012100012112 is an apocalyptic number.

It is an amenable number.

12012100012112 is a deficient number, since it is larger than the sum of its proper divisors (11273664330148).

12012100012112 is a wasteful number, since it uses less digits than its factorization.

12012100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397437710 (or 397437704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12012100012112 its reverse (21121000121021), we get a palindrome (33133100133133).

The spelling of 12012100012112 in words is "twelve trillion, twelve billion, one hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 1889 3778 7556 15112 30224 397435813 794871626 1589743252 3179486504 6358973008 750756250757 1501512501514 3003025003028 6006050006056 12012100012112