Base | Representation |
---|---|
bin | 1011000111111111110000… |
… | …0001000010101010110101 |
3 | 1121022100221010001101202002 |
4 | 2301333330001002222311 |
5 | 3100402114001220341 |
6 | 42003145255425045 |
7 | 2401506235454606 |
oct | 261777401025265 |
9 | 47270833041662 |
10 | 12232000023221 |
11 | 3996620142090 |
12 | 1456788085185 |
13 | 6a961b558934 |
14 | 3040639abdad |
15 | 1632b088829b |
hex | b1ffc042ab5 |
12232000023221 has 128 divisors (see below), whose sum is σ = 14658633400320. Its totient is φ = 10098950400000.
The previous prime is 12232000023109. The next prime is 12232000023247.
It is a happy number.
12232000023221 is nontrivially palindromic in base 10.
It is a de Polignac number, because none of the positive numbers 2k-12232000023221 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 12232000023193 and 12232000023202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12232000023281) 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 127 ways as a sum of consecutive naturals, for example, 16825309160 + ... + 16825309886.
It is an arithmetic number, because the mean of its divisors is an integer number (114520573440).
Almost surely, 212232000023221 is an apocalyptic number.
12232000023221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
12232000023221 is a deficient number, since it is larger than the sum of its proper divisors (2426633377099).
12232000023221 is a wasteful number, since it uses less digits than its factorization.
12232000023221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1227.
The product of its (nonzero) digits is 576, while the sum is 20.
It can be divided in two parts, 122320000 and 23221, that added together give a palindrome (122343221).
The spelling of 12232000023221 in words is "twelve trillion, two hundred thirty-two billion, twenty-three thousand, two hundred twenty-one".
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