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12008661880712 = 23717237312236143
BaseRepresentation
bin1010111010111111110000…
…0001101000111110001000
31120112000110021221020100012
42232233330001220332020
53033222214420140322
641312411512131052
72346411556541030
oct256577401507610
946460407836305
1012008661880712
11390a932626002
12141b438696a88
136915480b65a3
142d731813a8c0
1515c58d5adae2
hexaebfc068f88

12008661880712 has 256 divisors, whose sum is σ = 28848905256960. Its totient is φ = 4565280006144.

The previous prime is 12008661880697. The next prime is 12008661880727. The reversal of 12008661880712 is 21708816680021.

It is an interprime number because it is at equal distance from previous prime (12008661880697) and next prime (12008661880727).

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 63 ways as a sum of consecutive naturals, for example, 1954849913 + ... + 1954856055.

It is an arithmetic number, because the mean of its divisors is an integer number (112691036160).

Almost surely, 212008661880712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008661880712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424452628480).

12008661880712 is an abundant number, since it is smaller than the sum of its proper divisors (16840243376248).

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

12008661880712 is a wasteful number, since it uses less digits than its factorization.

12008661880712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 50.

The spelling of 12008661880712 in words is "twelve trillion, eight billion, six hundred sixty-one million, eight hundred eighty thousand, seven hundred twelve".