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12332231322201 = 327229537946753
BaseRepresentation
bin1011001101110101001001…
…0001000110101001011001
31121122221122101220221112200
42303131102101012221121
53104022402204302301
642121203204200413
72411655121446300
oct263352221065131
947587571827480
1012332231322201
113a2508509856a
12147209b399109
136b5c02c6097b
14308c5163b437
15165bca060c86
hexb3752446a59

12332231322201 has 36 divisors (see below), whose sum is σ = 20722227762132. Its totient is φ = 7046743302144.

The previous prime is 12332231322199. The next prime is 12332231322233. The reversal of 12332231322201 is 10222313223321.

12332231322201 is a `hidden beast` number, since 1 + 2 + 3 + 322 + 3 + 132 + 2 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5054295326976 + 7277935995225 = 2248176^2 + 2697765^2 .

It is not a de Polignac number, because 12332231322201 - 21 = 12332231322199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12332231322401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12552441 + ... + 13499193.

It is an arithmetic number, because the mean of its divisors is an integer number (575617437837).

Almost surely, 212332231322201 is an apocalyptic number.

It is an amenable number.

12332231322201 is a deficient number, since it is larger than the sum of its proper divisors (8389996439931).

12332231322201 is a wasteful number, since it uses less digits than its factorization.

12332231322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976310 (or 976300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12332231322201 its reverse (10222313223321), we get a palindrome (22554544545522).

The spelling of 12332231322201 in words is "twelve trillion, three hundred thirty-two billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 29537 88611 206759 265833 620277 946753 1447313 1860831 2840259 4341939 6627271 8520777 13025817 19881813 46390897 59645439 139172691 417518073 27964243361 83892730083 195749703527 251678190249 587249110581 1370247924689 1761747331743 4110743774067 12332231322201