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12121013129 is a prime number
BaseRepresentation
bin10110100100111011…
…11111101110001001
31011021201211021011012
423102131333232021
5144310434410004
65322431213305
7606240624461
oct132235775611
934251737135
1012121013129
11515aaa5625
122423377235
1311b2254924
1482db1cba1
154ae1c646e
hex2d277fb89

12121013129 has 2 divisors, whose sum is σ = 12121013130. Its totient is φ = 12121013128.

The previous prime is 12121013119. The next prime is 12121013153. The reversal of 12121013129 is 92131012121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11642410000 + 478603129 = 107900^2 + 21877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121013129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121013119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060506564 + 6060506565.

It is an arithmetic number, because the mean of its divisors is an integer number (6060506565).

Almost surely, 212121013129 is an apocalyptic number.

It is an amenable number.

12121013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121013129 is an equidigital number, since it uses as much as digits as its factorization.

12121013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12121013129 in words is "twelve billion, one hundred twenty-one million, thirteen thousand, one hundred twenty-nine".