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12122012023001 is a prime number
BaseRepresentation
bin1011000001100110000000…
…1110000111100011011001
31120220212000212020001222022
42300121200032013203121
53042101340034214001
641440435255104225
72360533521053126
oct260314016074331
946825025201868
1012122012023001
113953a09848651
1214393b1372075
1369c1406a08ba
142dc9cc22d74d
151604c486111b
hexb06603878d9

12122012023001 has 2 divisors, whose sum is σ = 12122012023002. Its totient is φ = 12122012023000.

The previous prime is 12122012022941. The next prime is 12122012023003. The reversal of 12122012023001 is 10032021022121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12120849213001 + 1162810000 = 3481501^2 + 34100^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122012023001 - 226 = 12121944914137 is a prime.

Together with 12122012023003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12122012023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061006011500 + 6061006011501.

It is an arithmetic number, because the mean of its divisors is an integer number (6061006011501).

Almost surely, 212122012023001 is an apocalyptic number.

It is an amenable number.

12122012023001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122012023001 is an equidigital number, since it uses as much as digits as its factorization.

12122012023001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12122012023001 its reverse (10032021022121), we get a palindrome (22154033045122).

The spelling of 12122012023001 in words is "twelve trillion, one hundred twenty-two billion, twelve million, twenty-three thousand, one".