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12120310381 is a prime number
BaseRepresentation
bin10110100100110110…
…10100001001101101
31011021200111120011111
423102123110021231
5144310244413011
65322404152021
7606231636604
oct132233241155
934250446144
1012120310381
11515a665643
122423098611
1311b2069aba
1482d9b8a3b
154ae0d8121
hex2d26d426d

12120310381 has 2 divisors, whose sum is σ = 12120310382. Its totient is φ = 12120310380.

The previous prime is 12120310357. The next prime is 12120310417. The reversal of 12120310381 is 18301302121.

It is a happy number.

12120310381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11757064900 + 363245481 = 108430^2 + 19059^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120310381 - 215 = 12120277613 is a prime.

It is a super-2 number, since 2×121203103812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120319381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060155190 + 6060155191.

It is an arithmetic number, because the mean of its divisors is an integer number (6060155191).

Almost surely, 212120310381 is an apocalyptic number.

It is an amenable number.

12120310381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120310381 is an equidigital number, since it uses as much as digits as its factorization.

12120310381 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 22.

The spelling of 12120310381 in words is "twelve billion, one hundred twenty million, three hundred ten thousand, three hundred eighty-one".