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12144123211 = 1123251191237
BaseRepresentation
bin10110100111101100…
…01001110101001011
31011100100022101020011
423103312021311023
5144332343420321
65325014412351
7606641226013
oct132366116513
934310271204
1012144123211
11517204a570
12242b0610b7
1311b6c8682c
14832c16c43
154b123dae1
hex2d3d89d4b

12144123211 has 16 divisors (see below), whose sum is σ = 13879289088. Its totient is φ = 10517980000.

The previous prime is 12144123151. The next prime is 12144123263. The reversal of 12144123211 is 11232144121.

It is not a de Polignac number, because 12144123211 - 227 = 12009905483 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12144123611) 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 15 ways as a sum of consecutive naturals, for example, 32116 + ... + 159121.

It is an arithmetic number, because the mean of its divisors is an integer number (867455568).

Almost surely, 212144123211 is an apocalyptic number.

12144123211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12144123211 is a deficient number, since it is larger than the sum of its proper divisors (1735165877).

12144123211 is a wasteful number, since it uses less digits than its factorization.

12144123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191522.

The product of its digits is 384, while the sum is 22.

Adding to 12144123211 its reverse (11232144121), we get a palindrome (23376267332).

The spelling of 12144123211 in words is "twelve billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred eleven".

Divisors: 1 11 23 251 253 2761 5773 63503 191237 2103607 4398451 48000487 48382961 528005357 1104011201 12144123211