Search a number
-
+
12121201000009 is a prime number
BaseRepresentation
bin1011000001100010111111…
…1000010011111001001001
31120220202221100010211120201
42300120233320103321021
53042043204424000014
641440223004052201
72360504442346453
oct260305770237111
946822840124521
1012121201000009
113953632a69012
121439205834061
1369c04165b63a
142dc9526352d3
1516047855ce74
hexb062fe13e49

12121201000009 has 2 divisors, whose sum is σ = 12121201000010. Its totient is φ = 12121201000008.

The previous prime is 12121200999937. The next prime is 12121201000019. The reversal of 12121201000009 is 90000010212121.

It is a happy number.

12121201000009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10070943575625 + 2050257424384 = 3173475^2 + 1431872^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121201000009 - 27 = 12121200999881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121201000009.

It is not a weakly prime, because it can be changed into another prime (12121201000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060600500004 + 6060600500005.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600500005).

Almost surely, 212121201000009 is an apocalyptic number.

It is an amenable number.

12121201000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121201000009 is an equidigital number, since it uses as much as digits as its factorization.

12121201000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12121201000009 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, nine", and thus it is an aban number.