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12002321101000 = 235312002321101
BaseRepresentation
bin1010111010101000001000…
…0101011111000011001000
31120111102002101122020210011
42232222002011133003020
53033121223200213000
641305442403201304
72346065464026556
oct256520205370310
946442071566704
1012002321101000
1139081793a839a
12141a169076234
13690a77542329
142d6cb5d80bd6
1515c31baae2ba
hexaea8215f0c8

12002321101000 has 32 divisors (see below), whose sum is σ = 28085431378680. Its totient is φ = 4800928440000.

The previous prime is 12002321100997. The next prime is 12002321101007. The reversal of 12002321101000 is 10112320021.

It can be written as a sum of positive squares in 4 ways, for example, as 6441657193764 + 5560663907236 = 2538042^2 + 2358106^2 .

It is not an unprimeable number, because it can be changed into a prime (12002321101007) by changing a digit.

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, 6001159551 + ... + 6001161550.

Almost surely, 212002321101000 is an apocalyptic number.

12002321101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002321101000 is an abundant number, since it is smaller than the sum of its proper divisors (16083110277680).

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

12002321101000 is a wasteful number, since it uses less digits than its factorization.

12002321101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002321122 (or 12002321108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12002321101000 its reverse (10112320021), we get a palindrome (12012433421021).

The spelling of 12002321101000 in words is "twelve trillion, two billion, three hundred twenty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12002321101 24004642202 48009284404 60011605505 96018568808 120023211010 240046422020 300058027525 480092844040 600116055050 1200232110100 1500290137625 2400464220200 3000580275250 6001160550500 12002321101000