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12122121002149 is a prime number
BaseRepresentation
bin1011000001100110011010…
…1101110101110010100101
31120220212022110021210021001
42300121212231311302211
53042102100434032044
641440454150553301
72360536313263444
oct260314655656245
946825273253231
1012122121002149
113953a65312264
121439421968831
1369c15a1393c2
142dc9dc8bad5b
151604ce1db2d4
hexb0666b75ca5

12122121002149 has 2 divisors, whose sum is σ = 12122121002150. Its totient is φ = 12122121002148.

The previous prime is 12122121002119. The next prime is 12122121002183. The reversal of 12122121002149 is 94120012122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10368464400100 + 1753656602049 = 3220010^2 + 1324257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122121002149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122121002119) 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 as a sum of consecutive naturals, namely, 6061060501074 + 6061060501075.

It is an arithmetic number, because the mean of its divisors is an integer number (6061060501075).

Almost surely, 212122121002149 is an apocalyptic number.

It is an amenable number.

12122121002149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122121002149 is an equidigital number, since it uses as much as digits as its factorization.

12122121002149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 12122121002149 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred forty-nine".