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12121100129 is a prime number
BaseRepresentation
bin10110100100111100…
…10100111101100001
31011021201222200111102
423102132110331201
5144311000201004
65322433124145
7606241436225
oct132236247541
934251880442
1012121100129
115160054a26
1224233b9655
1311b22853c8
1482db42785
154ae1e211e
hex2d2794f61

12121100129 has 2 divisors, whose sum is σ = 12121100130. Its totient is φ = 12121100128.

The previous prime is 12121100111. The next prime is 12121100143. The reversal of 12121100129 is 92100112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11778109729 + 342990400 = 108527^2 + 18520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121100129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121100129.

It is not a weakly prime, because it can be changed into another prime (12121130129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060550064 + 6060550065.

It is an arithmetic number, because the mean of its divisors is an integer number (6060550065).

Almost surely, 212121100129 is an apocalyptic number.

It is an amenable number.

12121100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121100129 is an equidigital number, since it uses as much as digits as its factorization.

12121100129 is an evil number, because the sum of its binary digits is even.

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

The spelling of 12121100129 in words is "twelve billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-nine".