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12718482118272 = 273278211921063
BaseRepresentation
bin1011100100010100000010…
…0110111101011010000000
31200000212121212221101111100
42321011000212331122000
53131334422410241042
643014442351214400
72451610562160540
oct271050046753200
950025555841440
1012718482118272
114063972649507
121514b15b17400
13713469c20c88
1431d81376d320
15170c8486624c
hexb91409bd680

12718482118272 has 192 divisors, whose sum is σ = 41878119404160. Its totient is φ = 3629424015360.

The previous prime is 12718482118271. The next prime is 12718482118273. The reversal of 12718482118272 is 27281128481721.

It is a happy number.

12718482118272 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 8 + 482 + 11 + 82 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12718482118271) and next prime (12718482118273).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12718482118271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5660013 + ... + 7581075.

It is an arithmetic number, because the mean of its divisors is an integer number (218115205230).

Almost surely, 212718482118272 is an apocalyptic number.

12718482118272 is a gapful number since it is divisible by the number (12) 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 12718482118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939059702080).

12718482118272 is an abundant number, since it is smaller than the sum of its proper divisors (29159637285888).

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

12718482118272 is a wasteful number, since it uses less digits than its factorization.

12718482118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921911 (or 1921896 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 54.

The spelling of 12718482118272 in words is "twelve trillion, seven hundred eighteen billion, four hundred eighty-two million, one hundred eighteen thousand, two hundred seventy-two".