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12012171671808 = 2833711431547
BaseRepresentation
bin1010111011001100110100…
…1110011011100100000000
31120112100111220020002121000
42232303031032123210000
53033301411421444213
641314152051132000
72346564545350110
oct256631516334400
946470456202530
1012012171671808
113911373830000
121420057ba4000
136919872a0659
142d756c327040
1515c6e67a1c73
hexaeccd39b900

12012171671808 has 1440 divisors, whose sum is σ = 46180873625600. Its totient is φ = 3013878067200.

The previous prime is 12012171671791. The next prime is 12012171671809. The reversal of 12012171671808 is 80817617121021.

It is not an unprimeable number, because it can be changed into a prime (12012171671809) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21960094191 + ... + 21960094737.

Almost surely, 212012171671808 is an apocalyptic number.

12012171671808 is a gapful number since it is divisible by the number (18) 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 12012171671808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23090436812800).

12012171671808 is an abundant number, since it is smaller than the sum of its proper divisors (34168701953792).

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

12012171671808 is an frugal number, since it uses more digits than its factorization.

12012171671808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

Adding to 12012171671808 its reverse (80817617121021), we get a palindrome (92829788792829).

It can be divided in two parts, 1201217 and 1671808, that added together give a square (2873025 = 16952).

The spelling of 12012171671808 in words is "twelve trillion, twelve billion, one hundred seventy-one million, six hundred seventy-one thousand, eight hundred eight".