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12020010002129 is a prime number
BaseRepresentation
bin1010111011101010000001…
…1011010010011011010001
31120120002202011102112101102
42232322200123102123101
53033413440030032004
641321525533514145
72350263024145103
oct256724033223321
946502664375342
1012020010002129
113914726315648
121421685042955
1369263618a02c
142d7ab3349573
1515ca049b511e
hexaeea06d26d1

12020010002129 has 2 divisors, whose sum is σ = 12020010002130. Its totient is φ = 12020010002128.

The previous prime is 12020010002089. The next prime is 12020010002131. The reversal of 12020010002129 is 92120001002021.

It is a happy number.

12020010002129 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., 11654405961025 + 365604041104 = 3413855^2 + 604652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12020010002129 is a prime.

Together with 12020010002131, 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 12020010002129.

It is not a weakly prime, because it can be changed into another prime (12020010004129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6010005001064 + 6010005001065.

It is an arithmetic number, because the mean of its divisors is an integer number (6010005001065).

Almost surely, 212020010002129 is an apocalyptic number.

It is an amenable number.

12020010002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12020010002129 is an equidigital number, since it uses as much as digits as its factorization.

12020010002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 12020010002129 in words is "twelve trillion, twenty billion, ten million, two thousand, one hundred twenty-nine".