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12217399796736 = 210344111331793
BaseRepresentation
bin1011000111001001010111…
…0001100110010000000000
31121020222020121011001020000
42301302111301212100000
53100132213321443421
641552332422120000
72400451361544621
oct261622561462000
947228217131200
1012217399796736
113990408750902
121453992580000
136a81327a2074
1430347a8cda48
15162c08be0226
hexb1c95c66400

12217399796736 has 440 divisors, whose sum is σ = 37705310768664. Its totient is φ = 3937853767680.

The previous prime is 12217399796731. The next prime is 12217399796773. The reversal of 12217399796736 is 63769799371221.

It is a happy number.

12217399796736 is a `hidden beast` number, since 1 + 221 + 7 + 399 + 7 + 9 + 6 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97643750400 + 12119756046336 = 312480^2 + 3481344^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12217399796731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384263656 + ... + 384295448.

Almost surely, 212217399796736 is an apocalyptic number.

12217399796736 is a gapful number since it is divisible by the number (16) 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 12217399796736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852655384332).

12217399796736 is an abundant number, since it is smaller than the sum of its proper divisors (25487910971928).

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

12217399796736 is a wasteful number, since it uses less digits than its factorization.

12217399796736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31979 (or 31952 counting only the distinct ones).

The product of its digits is 324060912, while the sum is 72.

The spelling of 12217399796736 in words is "twelve trillion, two hundred seventeen billion, three hundred ninety-nine million, seven hundred ninety-six thousand, seven hundred thirty-six".