Base | Representation |
---|---|
bin | 1011000001100111001010… |
… | …1001100100111001111001 |
3 | 1120220212211102000110011201 |
4 | 2300121302221210321321 |
5 | 3042103003212223001 |
6 | 41440530102054201 |
7 | 2360544264110641 |
oct | 260316251447171 |
9 | 46825742013151 |
10 | 12122321211001 |
11 | 3954058328121 |
12 | 1439478a1a361 |
13 | 69c18c767791 |
14 | 2dca1b315521 |
15 | 1604e1a87501 |
hex | b0672a64e79 |
12122321211001 has 12 divisors (see below), whose sum is σ = 12361627653228. Its totient is φ = 11887564554944.
The previous prime is 12122321210921. The next prime is 12122321211019. The reversal of 12122321211001 is 10011212322121.
12122321211001 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 6 ways, for example, as 2144177418601 + 9978143792400 = 1464301^2 + 3158820^2 .
It is not a de Polignac number, because 12122321211001 - 219 = 12122320686713 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 12122321211001.
It is not an unprimeable number, because it can be changed into a prime (12122321211061) 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, 4448511 + ... + 6635803.
It is an arithmetic number, because the mean of its divisors is an integer number (1030135637769).
Almost surely, 212122321211001 is an apocalyptic number.
It is an amenable number.
12122321211001 is a deficient number, since it is larger than the sum of its proper divisors (239306442227).
12122321211001 is an equidigital number, since it uses as much as digits as its factorization.
12122321211001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2189372 (or 2189319 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 19.
Adding to 12122321211001 its reverse (10011212322121), we get a palindrome (22133533533122).
The spelling of 12122321211001 in words is "twelve trillion, one hundred twenty-two billion, three hundred twenty-one million, two hundred eleven thousand, one".
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