Search a number
-
+
12121202020033 is a prime number
BaseRepresentation
bin1011000001100010111111…
…1100001100111011000001
31120220202221102001122210101
42300120233330030323001
53042043210204120113
641440223042002401
72360504454125341
oct260305774147301
946822842048711
1012121202020033
1139536335a5407
121439206046401
1369c0419279c2
142dc95281cd21
151604786b02dd
hexb062ff0cec1

12121202020033 has 2 divisors, whose sum is σ = 12121202020034. Its totient is φ = 12121202020032.

The previous prime is 12121202020003. The next prime is 12121202020091. The reversal of 12121202020033 is 33002020212121.

12121202020033 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., 8158204050049 + 3962997969984 = 2856257^2 + 1990728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121202020033 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121202020003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060601010016 + 6060601010017.

It is an arithmetic number, because the mean of its divisors is an integer number (6060601010017).

Almost surely, 212121202020033 is an apocalyptic number.

It is an amenable number.

12121202020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121202020033 is an equidigital number, since it uses as much as digits as its factorization.

12121202020033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12121202020033 its reverse (33002020212121), we get a palindrome (45123222232154).

It can be divided in two parts, 1212120 and 2020033, that added together give a triangular number (3232153 = T2542).

The spelling of 12121202020033 in words is "twelve trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, thirty-three".