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20121220321 is a prime number
BaseRepresentation
bin10010101111010100…
…010111010011100001
31220221021121220021021
4102233110113103201
5312202013022241
613124335325441
71311423356626
oct225724272341
956837556237
1020121220321
1185959a4704
123a96680881
131b8883b137
14d8c43c34d
157cb7130d1
hex4af5174e1

20121220321 has 2 divisors, whose sum is σ = 20121220322. Its totient is φ = 20121220320.

The previous prime is 20121220319. The next prime is 20121220363. The reversal of 20121220321 is 12302212102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16265431296 + 3855789025 = 127536^2 + 62095^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121220321 - 21 = 20121220319 is a prime.

Together with 20121220319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20121220295 and 20121220304.

It is not a weakly prime, because it can be changed into another prime (20121230321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060610160 + 10060610161.

It is an arithmetic number, because the mean of its divisors is an integer number (10060610161).

Almost surely, 220121220321 is an apocalyptic number.

It is an amenable number.

20121220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121220321 is an equidigital number, since it uses as much as digits as its factorization.

20121220321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20121220321 its reverse (12302212102), we get a palindrome (32423432423).

The spelling of 20121220321 in words is "twenty billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty-one".