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20121121212201 = 33113121716213343
BaseRepresentation
bin1001001001100110100000…
…10010000100011100101001
32122020120010112101121011000
410210303100102010130221
510114131024012242301
6110443303202025213
74144463066235342
oct444632022043451
978216115347130
1020121121212201
116458357405509
12230b736948209
13b2c54b867b79
144d7c204650c9
1524d5e34b2786
hex124cd0484729

20121121212201 has 64 divisors (see below), whose sum is σ = 30125152189440. Its totient is φ = 13272280842240.

The previous prime is 20121121212193. The next prime is 20121121212217. The reversal of 20121121212201 is 10221212112102.

20121121212201 is a `hidden beast` number, since 20 + 1 + 211 + 21 + 212 + 201 = 666.

It is not a de Polignac number, because 20121121212201 - 23 = 20121121212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121121216201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6018879936 + ... + 6018883278.

It is an arithmetic number, because the mean of its divisors is an integer number (470705502960).

Almost surely, 220121121212201 is an apocalyptic number.

It is an amenable number.

20121121212201 is a deficient number, since it is larger than the sum of its proper divisors (10004030977239).

20121121212201 is a wasteful number, since it uses less digits than its factorization.

20121121212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6297 counting only the distinct ones).

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

Adding to 20121121212201 its reverse (10221212112102), we get a palindrome (30342333324303).

The spelling of 20121121212201 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 113 339 1017 1217 1621 3051 3343 3651 4863 10029 10953 14589 30087 32859 43767 90261 137521 183173 377759 412563 549519 1133277 1237689 1648557 1972757 3399831 3713067 4068431 4945671 5419003 5918271 10199493 12205293 16257009 17754813 36615879 48771027 53264439 109847637 146313081 222921541 459732703 612347339 668764623 1379198109 1837042017 2006293869 4137594327 5511126051 6018881607 6594926651 12412782981 16533378153 19784779953 59354339859 178063019577 745226711563 2235680134689 6707040404067 20121121212201