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12173237121 = 396716012621
BaseRepresentation
bin10110101011001010…
…01101101110000001
31011102101002112000010
423111211031232001
5144412322041441
65331534415133
7610443544143
oct132545155601
934371075003
1012173237121
115187525251
1224389614a9
1311c000b3b6
14836a34c93
154b3a90116
hex2d594db81

12173237121 has 16 divisors (see below), whose sum is σ = 16264119168. Its totient is φ = 8098944000.

The previous prime is 12173237119. The next prime is 12173237159.

12173237121 is nontrivially palindromic in base 10.

12173237121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12173237121 - 21 = 12173237119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12173237161) 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 in 15 ways as a sum of consecutive naturals, for example, 4643191 + ... + 4645811.

It is an arithmetic number, because the mean of its divisors is an integer number (1016507448).

Almost surely, 212173237121 is an apocalyptic number.

It is an amenable number.

12173237121 is a deficient number, since it is larger than the sum of its proper divisors (4090882047).

12173237121 is a wasteful number, since it uses less digits than its factorization.

12173237121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192.

The product of its digits is 3528, while the sum is 30.

The spelling of 12173237121 in words is "twelve billion, one hundred seventy-three million, two hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 3 967 1601 2621 2901 4803 7863 1548167 2534507 4196221 4644501 7603521 12588663 4057745707 12173237121