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12121222000121 = 131849350419169
BaseRepresentation
bin1011000001100011000100…
…1000011010110111111001
31120220202222210122202022122
42300120301020122313321
53042043230313000441
641440225034131025
72360505116012333
oct260306110326771
946822883582278
1012121222000121
113953643901783
121439210880a75
1369c045b02040
142dc955340453
1516047a30a34b
hexb063121adf9

12121222000121 has 8 divisors (see below), whose sum is σ = 13054329819720. Its totient is φ = 11188215055872.

The previous prime is 12121222000039. The next prime is 12121222000159. The reversal of 12121222000121 is 12100022212121.

It can be written as a sum of positive squares in 4 ways, for example, as 2586342620521 + 9534879379600 = 1608211^2 + 3087860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121222000121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12121222000121.

It is not an unprimeable number, because it can be changed into a prime (12121222000421) 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, 24969176 + ... + 25449993.

It is an arithmetic number, because the mean of its divisors is an integer number (1631791227465).

Almost surely, 212121222000121 is an apocalyptic number.

It is an amenable number.

12121222000121 is a deficient number, since it is larger than the sum of its proper divisors (933107819599).

12121222000121 is a wasteful number, since it uses less digits than its factorization.

12121222000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50437675.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12121222000121 its reverse (12100022212121), we get a palindrome (24221244212242).

The spelling of 12121222000121 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 18493 240409 50419169 655449197 932401692317 12121222000121