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12421470600 = 23325273113159
BaseRepresentation
bin10111001000110000…
…01001100110001000
31012001200012002022200
423210120021212020
5200414344024400
65412323120200
7616546521000
oct134430114610
935050162280
1012421470600
1152a4661790
1224a7b13060
13122c582a06
1485b9b1000
154ca775b00
hex2e4609988

12421470600 has 1152 divisors, whose sum is σ = 55710720000. Its totient is φ = 2455488000.

The previous prime is 12421470599. The next prime is 12421470601. The reversal of 12421470600 is 607412421.

12421470600 is a `hidden beast` number, since 1 + 2 + 42 + 14 + 7 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12421470599) and next prime (12421470601).

It is not an unprimeable number, because it can be changed into a prime (12421470601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 210533371 + ... + 210533429.

It is an arithmetic number, because the mean of its divisors is an integer number (48360000).

Almost surely, 212421470600 is an apocalyptic number.

12421470600 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 12421470600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360000).

12421470600 is an abundant number, since it is smaller than the sum of its proper divisors (43289249400).

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

12421470600 is a wasteful number, since it uses less digits than its factorization.

12421470600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12421470600 in words is "twelve billion, four hundred twenty-one million, four hundred seventy thousand, six hundred".