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12022033129 is a prime number
BaseRepresentation
bin10110011001001000…
…11010101011101001
31011000211120120010021
423030210122223221
5144110120030004
65304533520441
7603626411161
oct131444325351
934024516107
1012022033129
11510a140477
1223b61a3121
1311978aa492
148209155a1
154a5673d54
hex2cc91aae9

12022033129 has 2 divisors, whose sum is σ = 12022033130. Its totient is φ = 12022033128.

The previous prime is 12022033091. The next prime is 12022033169. The reversal of 12022033129 is 92133022021.

12022033129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10715355225 + 1306677904 = 103515^2 + 36148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022033129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12022033169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011016564 + 6011016565.

It is an arithmetic number, because the mean of its divisors is an integer number (6011016565).

Almost surely, 212022033129 is an apocalyptic number.

It is an amenable number.

12022033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022033129 is an equidigital number, since it uses as much as digits as its factorization.

12022033129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 12022033129 in words is "twelve billion, twenty-two million, thirty-three thousand, one hundred twenty-nine".