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12055343897184 = 2537291978273797
BaseRepresentation
bin1010111101101101101001…
…1111011001101001100000
31120200110221122101101020020
42233123122133121221200
53040003321014202214
641350052025513440
72352653442251310
oct257333237315140
946613848341206
1012055343897184
113928708390a05
1214284a6342880
13695a77618643
142d96a5d2d440
1515d8c19ec4a9
hexaf6da7d9a60

12055343897184 has 384 divisors, whose sum is σ = 37658435189760. Its totient is φ = 3303859593216.

The previous prime is 12055343897183. The next prime is 12055343897209. The reversal of 12055343897184 is 48179834355021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055343897183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3174963574 + ... + 3174967370.

It is an arithmetic number, because the mean of its divisors is an integer number (98068841640).

Almost surely, 212055343897184 is an apocalyptic number.

12055343897184 is a gapful number since it is divisible by the number (14) 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 12055343897184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829217594880).

12055343897184 is an abundant number, since it is smaller than the sum of its proper divisors (25603091292576).

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

12055343897184 is a wasteful number, since it uses less digits than its factorization.

12055343897184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 12055343897184 in words is "twelve trillion, fifty-five billion, three hundred forty-three million, eight hundred ninety-seven thousand, one hundred eighty-four".