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12120312132037 is a prime number
BaseRepresentation
bin1011000001011111101011…
…1001100011000111000101
31120220200122101120122221201
42300113322321203013011
53042034344401211122
641435554452342501
72360443430163604
oct260277271430705
946820571518851
1012120312132037
11395321724a38a
121438bb8014a31
1369bc2c461b65
142dc8aa575a3b
151604254cea27
hexb05fae631c5

12120312132037 has 2 divisors, whose sum is σ = 12120312132038. Its totient is φ = 12120312132036.

The previous prime is 12120312131999. The next prime is 12120312132083. The reversal of 12120312132037 is 73023121302121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12031678506241 + 88633625796 = 3468671^2 + 297714^2 .

It is an emirp because it is prime and its reverse (73023121302121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12120312132037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120312131996 and 12120312132014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120312132737) 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, 6060156066018 + 6060156066019.

It is an arithmetic number, because the mean of its divisors is an integer number (6060156066019).

Almost surely, 212120312132037 is an apocalyptic number.

It is an amenable number.

12120312132037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120312132037 is an equidigital number, since it uses as much as digits as its factorization.

12120312132037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 12120312132037 its reverse (73023121302121), we get a palindrome (85143433434158).

The spelling of 12120312132037 in words is "twelve trillion, one hundred twenty billion, three hundred twelve million, one hundred thirty-two thousand, thirty-seven".