Base | Representation |
---|---|
bin | 1011000111010011110101… |
… | …0101111010100001000001 |
3 | 1121021020111112010122202121 |
4 | 2301310331111322201001 |
5 | 3100203443021041001 |
6 | 41553515410244241 |
7 | 2400611136411214 |
oct | 261647525724101 |
9 | 47236445118677 |
10 | 12220211112001 |
11 | 3991620657652 |
12 | 1454437b86681 |
13 | 6a8490061719 |
14 | 30366601b77b |
15 | 162d209126a1 |
hex | b1d3d57a841 |
12220211112001 has 16 divisors (see below), whose sum is σ = 12950825726160. Its totient is φ = 11510251540480.
The previous prime is 12220211111989. The next prime is 12220211112013. The reversal of 12220211112001 is 10021111202221.
12220211112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12220211111989) and next prime (12220211112013).
It can be written as a sum of positive squares in 8 ways, for example, as 588939595776 + 11631271516225 = 767424^2 + 3410465^2 .
It is a cyclic number.
It is not a de Polignac number, because 12220211112001 - 29 = 12220211111489 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (12220211412001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17192991 + ... + 17889643.
It is an arithmetic number, because the mean of its divisors is an integer number (809426607885).
Almost surely, 212220211112001 is an apocalyptic number.
It is an amenable number.
12220211112001 is a deficient number, since it is larger than the sum of its proper divisors (730614614159).
12220211112001 is a wasteful number, since it uses less digits than its factorization.
12220211112001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 711476.
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 12220211112001 its reverse (10021111202221), we get a palindrome (22241322314222).
The spelling of 12220211112001 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, one hundred twelve thousand, one".
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