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12001112122221 = 321799097411841
BaseRepresentation
bin1010111010100011101000…
…0001100110001101101101
31120111021222010201202200100
42232220322001212031231
53033111234200402341
641305122414421313
72346023513624235
oct256507201461555
946437863652610
1012001112122221
113907708a19782
121419a90201839
13690913c26081
142d6bdd594cc5
1515c29a89d3b6
hexaea3a06636d

12001112122221 has 12 divisors (see below), whose sum is σ = 17335038424860. Its totient is φ = 8000695864320.

The previous prime is 12001112122213. The next prime is 12001112122231. The reversal of 12001112122221 is 12222121110021.

12001112122221 is a `hidden beast` number, since 120 + 0 + 111 + 212 + 2 + 221 = 666.

12001112122221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8063407668996 + 3937704453225 = 2839614^2 + 1984365^2 .

It is not a de Polignac number, because 12001112122221 - 23 = 12001112122213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001112122194 and 12001112122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001112122231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2086740 + ... + 5325101.

It is an arithmetic number, because the mean of its divisors is an integer number (1444586535405).

Almost surely, 212001112122221 is an apocalyptic number.

It is an amenable number.

12001112122221 is a deficient number, since it is larger than the sum of its proper divisors (5333926302639).

12001112122221 is a wasteful number, since it uses less digits than its factorization.

12001112122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591756 (or 7591753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12001112122221 its reverse (12222121110021), we get a palindrome (24223233232242).

The spelling of 12001112122221 in words is "twelve trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 179909 539727 1619181 7411841 22235523 66706569 1333456902469 4000370707407 12001112122221