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12002121121 is a prime number
BaseRepresentation
bin10110010110110000…
…11101010110100001
31010222110002220222111
423023120131112201
5144040020333441
65302543035321
7603265226524
oct131330352641
933873086874
1012002121121
1150a9980271
1223ab59bb41
131193728123
1481c010bbb
154a3a3e081
hex2cb61d5a1

12002121121 has 2 divisors, whose sum is σ = 12002121122. Its totient is φ = 12002121120.

The previous prime is 12002121049. The next prime is 12002121137. The reversal of 12002121121 is 12112120021.

12002121121 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., 8433850896 + 3568270225 = 91836^2 + 59735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002121121 - 27 = 12002120993 is a prime.

It is a super-2 number, since 2×120021211212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002121421) 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, 6001060560 + 6001060561.

It is an arithmetic number, because the mean of its divisors is an integer number (6001060561).

Almost surely, 212002121121 is an apocalyptic number.

It is an amenable number.

12002121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002121121 is an equidigital number, since it uses as much as digits as its factorization.

12002121121 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 12002121121 its reverse (12112120021), we get a palindrome (24114241142).

The spelling of 12002121121 in words is "twelve billion, two million, one hundred twenty-one thousand, one hundred twenty-one".