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12111106129 is a prime number
BaseRepresentation
bin10110100011110000…
…01101000001010001
31011021001011221022021
423101320031001101
5144300420344004
65321435011441
7606060463213
oct132170150121
934231157267
1012111106129
115155449321
12241bb99b81
1311b01964b5
1482c6a05b3
154ad3bad54
hex2d1e0d051

12111106129 has 2 divisors, whose sum is σ = 12111106130. Its totient is φ = 12111106128.

The previous prime is 12111106109. The next prime is 12111106181. The reversal of 12111106129 is 92160111121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7704801729 + 4406304400 = 87777^2 + 66380^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111106129 - 25 = 12111106097 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111106109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055553064 + 6055553065.

It is an arithmetic number, because the mean of its divisors is an integer number (6055553065).

Almost surely, 212111106129 is an apocalyptic number.

It is an amenable number.

12111106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111106129 is an equidigital number, since it uses as much as digits as its factorization.

12111106129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 12111106129 in words is "twelve billion, one hundred eleven million, one hundred six thousand, one hundred twenty-nine".