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12126666197376 = 273317537154851
BaseRepresentation
bin1011000001110111010110…
…1000011000100110000000
31120221022001012212121222000
42300131311220120212000
53042140403021304001
641442525154144000
72361060043640463
oct260356550304600
946838035777860
1012126666197376
113955987a21755
12143a28bb82000
1369c7029a8333
142dcd103cd2da
15160698255a86
hexb0775a18980

12126666197376 has 512 divisors, whose sum is σ = 39155376153600. Its totient is φ = 3680022528000.

The previous prime is 12126666197351. The next prime is 12126666197377. The reversal of 12126666197376 is 67379166662121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126666197377) 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, 221056351 + ... + 221111201.

It is an arithmetic number, because the mean of its divisors is an integer number (76475344050).

Almost surely, 212126666197376 is an apocalyptic number.

12126666197376 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 12126666197376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577688076800).

12126666197376 is an abundant number, since it is smaller than the sum of its proper divisors (27028709956224).

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

12126666197376 is a wasteful number, since it uses less digits than its factorization.

12126666197376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55015 (or 54997 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 12126666197376 in words is "twelve trillion, one hundred twenty-six billion, six hundred sixty-six million, one hundred ninety-seven thousand, three hundred seventy-six".