Search a number
-
+
12000020211221 = 715710919035679
BaseRepresentation
bin1010111010011111100011…
…1100010010011000010101
31120111012011001002221101012
42232213320330102120111
53033102020133224341
641304422211142005
72345654454551240
oct256477074223025
946435131087335
1012000020211221
1139071a8629899
1214198265a4905
1369079b9481a3
142d6b38560257
1515c234ab40eb
hexae9f8f12615

12000020211221 has 8 divisors (see below), whose sum is σ = 13801661099520. Its totient is φ = 10220217394608.

The previous prime is 12000020211197. The next prime is 12000020211233. The reversal of 12000020211221 is 12211202000021.

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-12000020211221 is a prime.

It is a super-3 number, since 3×120000202112213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000020211196 and 12000020211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000020211251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5459516741 + ... + 5459518938.

It is an arithmetic number, because the mean of its divisors is an integer number (1725207637440).

Almost surely, 212000020211221 is an apocalyptic number.

It is an amenable number.

12000020211221 is a deficient number, since it is larger than the sum of its proper divisors (1801640888299).

12000020211221 is a wasteful number, since it uses less digits than its factorization.

12000020211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10919035843.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000020211221 its reverse (12211202000021), we get a palindrome (24211222211242).

The spelling of 12000020211221 in words is "twelve trillion, twenty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 157 1099 10919035679 76433249753 1714288601603 12000020211221