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12021001312320 = 26325711132378669
BaseRepresentation
bin1010111011101101101110…
…0000110101100001000000
31120120012022020202022022200
42232323123200311201000
53033423002313443240
641322212145033200
72350326422144220
oct256733340654100
946505266668280
1012021001312320
113915094943670
121421901025800
13692763673b00
142d7b68c74080
1515ca61a2b930
hexaeedb835840

12021001312320 has 2016 divisors, whose sum is σ = 57335465191680. Its totient is φ = 2243150807040.

The previous prime is 12021001312297. The next prime is 12021001312321. The reversal of 12021001312320 is 2321310012021.

12021001312320 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 0 + 131 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021001312293 and 12021001312302.

It is not an unprimeable number, because it can be changed into a prime (12021001312321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1386660946 + ... + 1386669614.

Almost surely, 212021001312320 is an apocalyptic number.

12021001312320 is a gapful number since it is divisible by the number (10) 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 12021001312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667732595840).

12021001312320 is an abundant number, since it is smaller than the sum of its proper divisors (45314463879360).

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

12021001312320 is a wasteful number, since it uses less digits than its factorization.

12021001312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021001312320 its reverse (2321310012021), we get a palindrome (14342311324341).

It can be divided in two parts, 12021001 and 312320, that added together give a palindrome (12333321).

The spelling of 12021001312320 in words is "twelve trillion, twenty-one billion, one million, three hundred twelve thousand, three hundred twenty".