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12122230032001 is a prime number
BaseRepresentation
bin1011000001100110110100…
…1101110000011010000001
31120220212121001110002002201
42300121231031300122001
53042102311342011001
641440513043513201
72360542106104645
oct260315515603201
946825531402081
1012122230032001
113954010910a81
121439452388801
1369c1768c1ccb
142dca0d17cc25
151604d8a76501
hexb066d370681

12122230032001 has 2 divisors, whose sum is σ = 12122230032002. Its totient is φ = 12122230032000.

The previous prime is 12122230031999. The next prime is 12122230032007. The reversal of 12122230032001 is 10023003222121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10215278938225 + 1906951093776 = 3196135^2 + 1380924^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122230032001 - 21 = 12122230031999 is a prime.

Together with 12122230031999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12122230032001.

It is not a weakly prime, because it can be changed into another prime (12122230032007) 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, 6061115016000 + 6061115016001.

It is an arithmetic number, because the mean of its divisors is an integer number (6061115016001).

Almost surely, 212122230032001 is an apocalyptic number.

It is an amenable number.

12122230032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122230032001 is an equidigital number, since it uses as much as digits as its factorization.

12122230032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12122230032001 its reverse (10023003222121), we get a palindrome (22145233254122).

The spelling of 12122230032001 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty million, thirty-two thousand, one".