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12034422432320 = 26537607570101
BaseRepresentation
bin1010111100011111101101…
…1110010110001001000000
31120121110221120221211211012
42233013323132112021000
53034132444120313240
641332312022140052
72351313130606031
oct257077336261100
946543846854735
1012034422432320
11391a8517a9782
121424427881628
13693ac2070232
142d867d500a88
1515d099e14b65
hexaf1fb796240

12034422432320 has 28 divisors (see below), whose sum is σ = 28656968417724. Its totient is φ = 4813768972800.

The previous prime is 12034422432313. The next prime is 12034422432341. The reversal of 12034422432320 is 2323422443021.

It can be written as a sum of positive squares in 2 ways, for example, as 8930821448704 + 3103600983616 = 2988448^2 + 1761704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18803784731 + ... + 18803785370.

Almost surely, 212034422432320 is an apocalyptic number.

12034422432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034422432320 is an abundant number, since it is smaller than the sum of its proper divisors (16622545985404).

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

12034422432320 is an equidigital number, since it uses as much as digits as its factorization.

12034422432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37607570118 (or 37607570108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12034422432320 its reverse (2323422443021), we get a palindrome (14357844875341).

The spelling of 12034422432320 in words is "twelve trillion, thirty-four billion, four hundred twenty-two million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37607570101 75215140202 150430280404 188037850505 300860560808 376075701010 601721121616 752151402020 1203442243232 1504302804040 2406884486464 3008605608080 6017211216160 12034422432320