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12334321224 = 233357103339
BaseRepresentation
bin10110111110010111…
…01100111001001000
31011211121012102212000
423133023230321020
5200230041234344
65355531151000
7614441000121
oct133713547110
934747172760
1012334321224
11525a448105
1224828a5460
1312174bb434
148501a7048
154c2cada69
hex2df2ece48

12334321224 has 32 divisors (see below), whose sum is σ = 34262004000. Its totient is φ = 4111440336.

The previous prime is 12334321189. The next prime is 12334321243. The reversal of 12334321224 is 42212343321.

12334321224 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 432 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28551454 + ... + 28551885.

It is an arithmetic number, because the mean of its divisors is an integer number (1070687625).

Almost surely, 212334321224 is an apocalyptic number.

It is an amenable number.

12334321224 is an abundant number, since it is smaller than the sum of its proper divisors (21927682776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12334321224 is a wasteful number, since it uses less digits than its factorization.

12334321224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57103354 (or 57103344 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12334321224 its reverse (42212343321), we get a palindrome (54546664545).

It can be divided in two parts, 123343212 and 24, that added together give a square (123343236 = 111062).

The spelling of 12334321224 in words is "twelve billion, three hundred thirty-four million, three hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 57103339 114206678 171310017 228413356 342620034 456826712 513930051 685240068 1027860102 1370480136 1541790153 2055720204 3083580306 4111440408 6167160612 12334321224