Search a number
-
+
12121012201 is a prime number
BaseRepresentation
bin10110100100111011…
…11111011111101001
31011021201211012212211
423102131333133221
5144310434342301
65322431205121
7606240621664
oct132235773751
934251735784
1012121012201
11515aaa4961
1224233767a1
1311b225438c
1482db1c6db
154ae1c6051
hex2d277f7e9

12121012201 has 2 divisors, whose sum is σ = 12121012202. Its totient is φ = 12121012200.

The previous prime is 12121012187. The next prime is 12121012279. The reversal of 12121012201 is 10221012121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9560146176 + 2560866025 = 97776^2 + 50605^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121012201 - 29 = 12121011689 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121012601) 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, 6060506100 + 6060506101.

It is an arithmetic number, because the mean of its divisors is an integer number (6060506101).

Almost surely, 212121012201 is an apocalyptic number.

It is an amenable number.

12121012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121012201 is an equidigital number, since it uses as much as digits as its factorization.

12121012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121012201 its reverse (10221012121), we get a palindrome (22342024322).

The spelling of 12121012201 in words is "twelve billion, one hundred twenty-one million, twelve thousand, two hundred one".