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12182199129 = 32367912
BaseRepresentation
bin10110101100001110…
…11001101101011001
31011102222221211120100
423112013121231121
5144422120333004
65332454450013
7610612661352
oct132607315531
934388854510
1012182199129
115191596571
12243b963909
1311c1b28669
14837cc8d29
154b4760739
hex2d61d9b59

12182199129 has 9 divisors (see below), whose sum is σ = 17596988149. Its totient is φ = 8121245340.

The previous prime is 12182199103. The next prime is 12182199131. The reversal of 12182199129 is 92199128121.

The square root of 12182199129 is 110373.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12182199129 - 211 = 12182197081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12182199329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312724 + ... + 349514.

Almost surely, 212182199129 is an apocalyptic number.

12182199129 is the 110373-rd square number.

12182199129 is the 55187-th centered octagonal number.

It is an amenable number.

12182199129 is a deficient number, since it is larger than the sum of its proper divisors (5414789020).

12182199129 is an frugal number, since it uses more digits than its factorization.

12182199129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73588 (or 36794 counting only the distinct ones).

The product of its digits is 46656, while the sum is 45.

Multiplying 12182199129 by its product of digits (46656), we get a square (568372682562624 = 238405682).

The spelling of 12182199129 in words is "twelve billion, one hundred eighty-two million, one hundred ninety-nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 36791 110373 331119 1353577681 4060733043 12182199129