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12321022333032 = 2332723492353269
BaseRepresentation
bin1011001101001011011000…
…1010001101000001101000
31121121212201020020022001200
42303102312022031001220
53103331423204124112
642112111032444200
72411110263556500
oct263226612150150
947555636208050
1012321022333032
113a20352998056
12146ba91549660
136b4b379525ba
143084aaac8a00
15165770e8dcdc
hexb34b628d068

12321022333032 has 72 divisors (see below), whose sum is σ = 38817506596050. Its totient is φ = 3520292094144.

The previous prime is 12321022332991. The next prime is 12321022333043. The reversal of 12321022333032 is 23033322012321.

12321022333032 is a `hidden beast` number, since 1 + 2 + 321 + 0 + 2 + 2 + 3 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10504171748196 + 1816850584836 = 3241014^2 + 1347906^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12321022332987 and 12321022333005.

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 17 ways as a sum of consecutive naturals, for example, 1746173107 + ... + 1746180162.

Almost surely, 212321022333032 is an apocalyptic number.

12321022333032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321022333032 is an abundant number, since it is smaller than the sum of its proper divisors (26496484263018).

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

12321022333032 is a wasteful number, since it uses less digits than its factorization.

12321022333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492353295 (or 3492353281 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12321022333032 its reverse (23033322012321), we get a palindrome (35354344345353).

The spelling of 12321022333032 in words is "twelve trillion, three hundred twenty-one billion, twenty-two million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3492353269 6984706538 10477059807 13969413076 20954119614 24446472883 27938826152 31431179421 41908239228 48892945766 62862358842 73339418649 83816478456 97785891532 125724717684 146678837298 171125310181 195571783064 220018255947 251449435368 293357674596 342250620362 440036511894 513375930543 586715349192 684501240724 880073023788 1026751861086 1369002481448 1540127791629 1760146047576 2053503722172 3080255583258 4107007444344 6160511166516 12321022333032