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12000212012112 = 243379659642261
BaseRepresentation
bin1010111010100000010001…
…0111111100110001010000
31120111012122102000102201220
42232220010113330301100
53033102413233341422
641304453222125040
72345662304046432
oct256500427746120
946435572012656
1012000212012112
113907296921725
12141987a880780
136907cc5c153c
142d6b55c0a652
1515c24684de5c
hexaea045fcc50

12000212012112 has 40 divisors (see below), whose sum is σ = 31082343385440. Its totient is φ = 3989516388480.

The previous prime is 12000212012111. The next prime is 12000212012123. The reversal of 12000212012112 is 21121021200021.

It is a junction number, because it is equal to n+sod(n) for n = 12000212012091 and 12000212012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000212012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329802939 + ... + 329839322.

It is an arithmetic number, because the mean of its divisors is an integer number (777058584636).

Almost surely, 212000212012112 is an apocalyptic number.

12000212012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000212012112 is an abundant number, since it is smaller than the sum of its proper divisors (19082131373328).

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

12000212012112 is a wasteful number, since it uses less digits than its factorization.

12000212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659642651 (or 659642645 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12000212012112 its reverse (21121021200021), we get a palindrome (33121233212133).

The spelling of 12000212012112 in words is "twelve trillion, two hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 379 758 1137 1516 2274 3032 4548 6064 9096 18192 659642261 1319284522 1978926783 2638569044 3957853566 5277138088 7915707132 10554276176 15831414264 31662828528 250004416919 500008833838 750013250757 1000017667676 1500026501514 2000035335352 3000053003028 4000070670704 6000106006056 12000212012112