Search a number
-
+
12002221081 is a prime number
BaseRepresentation
bin10110010110110001…
…10101110000011001
31010222110022000002201
423023120311300121
5144040032033311
65302545130201
7603266124124
oct131330656031
933873260081
1012002221081
1150a9a39384
1223ab629961
131193761786
1481c0393bb
154a3a5d9c1
hex2cb635c19

12002221081 has 2 divisors, whose sum is σ = 12002221082. Its totient is φ = 12002221080.

The previous prime is 12002221079. The next prime is 12002221139. The reversal of 12002221081 is 18012220021.

12002221081 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., 9118531081 + 2883690000 = 95491^2 + 53700^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002221081 - 21 = 12002221079 is a prime.

It is a super-2 number, since 2×120022210812 (a number of 21 digits) contains 22 as substring.

Together with 12002221079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12002221381) 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, 6001110540 + 6001110541.

It is an arithmetic number, because the mean of its divisors is an integer number (6001110541).

Almost surely, 212002221081 is an apocalyptic number.

It is an amenable number.

12002221081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002221081 is an equidigital number, since it uses as much as digits as its factorization.

12002221081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 12002221081 in words is "twelve billion, two million, two hundred twenty-one thousand, eighty-one".