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12121001129 is a prime number
BaseRepresentation
bin10110100100111011…
…11100110010101001
31011021201210122200202
423102131330302221
5144310434014004
65322431041545
7606240544466
oct132235746251
934251718622
1012121001129
11515aa97606
1224233702b5
1311b224c323
1482db1866d
154ae1c2b1e
hex2d277cca9

12121001129 has 2 divisors, whose sum is σ = 12121001130. Its totient is φ = 12121001128.

The previous prime is 12121001119. The next prime is 12121001131. The reversal of 12121001129 is 92110012121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10195546729 + 1925454400 = 100973^2 + 43880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121001129 is a prime.

Together with 12121001131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121001129.

It is not a weakly prime, because it can be changed into another prime (12121001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060500564 + 6060500565.

It is an arithmetic number, because the mean of its divisors is an integer number (6060500565).

Almost surely, 212121001129 is an apocalyptic number.

It is an amenable number.

12121001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121001129 is an equidigital number, since it uses as much as digits as its factorization.

12121001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12121001129 in words is "twelve billion, one hundred twenty-one million, one thousand, one hundred twenty-nine".