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12008099297040 = 243572111931359439
BaseRepresentation
bin1010111010111101101001…
…1111100011011100010000
31120111222000002100000121220
42232233122133203130100
53033220041410001130
641312240014045040
72346361615626300
oct256573237433420
946458002300556
1012008099297040
11390a674003620
12141b3001a9780
1369148868b542
142d72a3533600
1515c558ed2410
hexaebda7e3710

12008099297040 has 1920 divisors, whose sum is σ = 51589840896000. Its totient is φ = 2276041420800.

The previous prime is 12008099297039. The next prime is 12008099297167. The reversal of 12008099297040 is 4079299080021.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27353301141 + ... + 27353301579.

It is an arithmetic number, because the mean of its divisors is an integer number (26869708800).

Almost surely, 212008099297040 is an apocalyptic number.

12008099297040 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 12008099297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25794920448000).

12008099297040 is an abundant number, since it is smaller than the sum of its proper divisors (39581741598960).

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

12008099297040 is a wasteful number, since it uses less digits than its factorization.

12008099297040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 12008099297040 in words is "twelve trillion, eight billion, ninety-nine million, two hundred ninety-seven thousand, forty".