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12033122123204 = 22713233347429431
BaseRepresentation
bin1010111100011010110111…
…1110000011110111000100
31120121100120222012022001022
42233012231332003313010
53034122313230420304
641331535012050312
72351235661300250
oct257065576036704
946540528168038
1012033122123204
11391a244810246
121424124303998
13693945857660
142d859893d260
1515d020bb2ebe
hexaf1adf83dc4

12033122123204 has 96 divisors (see below), whose sum is σ = 27052484530176. Its totient is φ = 4552012967040.

The previous prime is 12033122123201. The next prime is 12033122123219. The reversal of 12033122123204 is 40232122133021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12033122123201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27806369 + ... + 28235799.

It is an arithmetic number, because the mean of its divisors is an integer number (281796713856).

Almost surely, 212033122123204 is an apocalyptic number.

12033122123204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033122123204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526242265088).

12033122123204 is an abundant number, since it is smaller than the sum of its proper divisors (15019362406972).

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

12033122123204 is a wasteful number, since it uses less digits than its factorization.

12033122123204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432825 (or 432823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12033122123204 its reverse (40232122133021), we get a palindrome (52265244256225).

The spelling of 12033122123204 in words is "twelve trillion, thirty-three billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 3347 4186 6694 8372 13388 23429 43511 46858 76981 87022 93716 153962 174044 304577 307924 429431 538867 609154 858862 1000753 1077734 1218308 1717724 2001506 2155468 3006017 4003012 5582603 6012034 7005271 9876913 11165206 12024068 14010542 19753826 22330412 28021084 39078221 39507652 69138391 78156442 128399869 138276782 156312884 256799738 276553564 513599476 898799083 1437305557 1797598166 2874611114 3595196332 5749222228 10061138899 18684972241 20122277798 33058027811 37369944482 40244555596 66116055622 74739888964 130794805687 132232111244 231406194677 261589611374 429754361543 462812389354 523179222748 859508723086 925624778708 1719017446172 3008280530801 6016561061602 12033122123204