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12121222369 is a prime number
BaseRepresentation
bin10110100100111101…
…10010110011100001
31011021202012220011211
423102132302303201
5144311013103434
65322435510121
7606242455504
oct132236626341
934252186154
1012121222369
115160128853
122423458341
1311b22c8c39
1482db7513b
154ae218464
hex2d27b2ce1

12121222369 has 2 divisors, whose sum is σ = 12121222370. Its totient is φ = 12121222368.

The previous prime is 12121222319. The next prime is 12121222417. The reversal of 12121222369 is 96322212121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9863071969 + 2258150400 = 99313^2 + 47520^2 .

It is an emirp because it is prime and its reverse (96322212121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12121222369 - 225 = 12087667937 is a prime.

It is a super-2 number, since 2×121212223692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12121222369.

It is not a weakly prime, because it can be changed into another prime (12121222319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060611184 + 6060611185.

It is an arithmetic number, because the mean of its divisors is an integer number (6060611185).

Almost surely, 212121222369 is an apocalyptic number.

It is an amenable number.

12121222369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121222369 is an equidigital number, since it uses as much as digits as its factorization.

12121222369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The spelling of 12121222369 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, three hundred sixty-nine".