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12071378923321 = 367294672
BaseRepresentation
bin1010111110101001011001…
…0000001010111100111001
31120202000100011010002212011
42233222112100022330321
53040234141001021241
641401303120045521
72354062010602534
oct257522620127471
946660304102764
1012071378923321
11393449677a423
12142b6204638a1
136974317164a3
142da3877bba1b
1515e00e611281
hexafa9640af39

12071378923321 has 9 divisors (see below), whose sum is σ = 12105639307749. Its totient is φ = 12037215256284.

The previous prime is 12071378923319. The next prime is 12071378923367. The reversal of 12071378923321 is 12332987317021.

The square root of 12071378923321 is 3474389.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12071378923321 - 21 = 12071378923319 is a prime.

It is a super-2 number, since 2×120713789233212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12071378929321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1275096030 + ... + 1275105496.

Almost surely, 212071378923321 is an apocalyptic number.

12071378923321 is the 3474389-th square number.

12071378923321 is the 1737195-th centered octagonal number.

It is an amenable number.

12071378923321 is a deficient number, since it is larger than the sum of its proper divisors (34260384428).

12071378923321 is an frugal number, since it uses more digits than its factorization.

12071378923321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19668 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 12071378923321 by its sum of digits (49), we get a square (591497567242729 = 243207232).

The spelling of 12071378923321 in words is "twelve trillion, seventy-one billion, three hundred seventy-eight million, nine hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 367 9467 134689 3474389 89624089 1275100763 32892040663 12071378923321