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12397395816960 = 293571142194969
BaseRepresentation
bin1011010001100111111001…
…0111111011001000000000
31121220011211211102021020120
42310121332113323020000
53111104331312120320
642211141321340240
72416453011511110
oct264317627731000
947804754367216
1012397395816960
113a4a784814a10
121482846937680
136bc0b9651ccb
1430c073d71040
15167740dae440
hexb467e5fb200

12397395816960 has 640 divisors, whose sum is σ = 49434136012800. Its totient is φ = 2574953349120.

The previous prime is 12397395816947. The next prime is 12397395817067. The reversal of 12397395816960 is 6961859379321.

12397395816960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2494945356 + ... + 2494950324.

It is an arithmetic number, because the mean of its divisors is an integer number (77240837520).

Almost surely, 212397395816960 is an apocalyptic number.

12397395816960 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 12397395816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24717068006400).

12397395816960 is an abundant number, since it is smaller than the sum of its proper divisors (37036740195840).

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

12397395816960 is a wasteful number, since it uses less digits than its factorization.

12397395816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 69.

The spelling of 12397395816960 in words is "twelve trillion, three hundred ninety-seven billion, three hundred ninety-five million, eight hundred sixteen thousand, nine hundred sixty".