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12122231121109 is a prime number
BaseRepresentation
bin1011000001100110110101…
…0001111010010011010101
31120220212121010111102002001
42300121231101322103111
53042102312131333414
641440513123115301
72360542121262124
oct260315521722325
946825533442061
1012122231121109
11395401149526a
121439452812b31
1369c176bb3955
142dca0d383abb
151604d8bde074
hexb066d47a4d5

12122231121109 has 2 divisors, whose sum is σ = 12122231121110. Its totient is φ = 12122231121108.

The previous prime is 12122231121107. The next prime is 12122231121137. The reversal of 12122231121109 is 90112113222121.

12122231121109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12122231121137) can be obtained adding 12122231121109 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10147391137009 + 1974839984100 = 3185497^2 + 1405290^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122231121109 - 21 = 12122231121107 is a prime.

Together with 12122231121107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122231121107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061115560554 + 6061115560555.

It is an arithmetic number, because the mean of its divisors is an integer number (6061115560555).

Almost surely, 212122231121109 is an apocalyptic number.

It is an amenable number.

12122231121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122231121109 is an equidigital number, since it uses as much as digits as its factorization.

12122231121109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

It can be divided in two parts, 1212223 and 1121109, that added together give a palindrome (2333332).

The spelling of 12122231121109 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred nine".