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12122002232233 is a prime number
BaseRepresentation
bin1011000001100101111110…
…1000110001001110101001
31120220212000011210122120021
42300121133220301032221
53042101330032412413
641440434305200441
72360533341614455
oct260313750611651
946825004718507
1012122002232233
113953a04270703
1214393aa030121
1369c13b65334a
142dc9cac01665
151604c3a7a18d
hexb065fa313a9

12122002232233 has 2 divisors, whose sum is σ = 12122002232234. Its totient is φ = 12122002232232.

The previous prime is 12122002232231. The next prime is 12122002232269. The reversal of 12122002232233 is 33223220022121.

12122002232233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11740025082384 + 381977149849 = 3426372^2 + 618043^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122002232233 - 21 = 12122002232231 is a prime.

Together with 12122002232231, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12122002232198 and 12122002232207.

It is not a weakly prime, because it can be changed into another prime (12122002232231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061001116116 + 6061001116117.

It is an arithmetic number, because the mean of its divisors is an integer number (6061001116117).

Almost surely, 212122002232233 is an apocalyptic number.

It is an amenable number.

12122002232233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122002232233 is an equidigital number, since it uses as much as digits as its factorization.

12122002232233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12122002232233 its reverse (33223220022121), we get a palindrome (45345222254354).

The spelling of 12122002232233 in words is "twelve trillion, one hundred twenty-two billion, two million, two hundred thirty-two thousand, two hundred thirty-three".