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12004220846447 = 10113117933115313
BaseRepresentation
bin1010111010101111001101…
…0100011100000101101111
31120111120222210100022121122
42232223303110130011233
53033134121014041242
641310355105251155
72346163532426204
oct256536324340557
946446883308548
1012004220846447
113908a6379a255
12141a5b9333abb
13690cbacb706b
142d70163bdcab
1515c3cd76bad2
hexaeaf351c16f

12004220846447 has 32 divisors (see below), whose sum is σ = 12321776712960. Its totient is φ = 11692549440000.

The previous prime is 12004220846441. The next prime is 12004220846473. The reversal of 12004220846447 is 74464802240021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12004220846447 - 216 = 12004220780911 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12004220846398 and 12004220846407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004220846441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783915863 + ... + 783931175.

It is an arithmetic number, because the mean of its divisors is an integer number (385055522280).

Almost surely, 212004220846447 is an apocalyptic number.

12004220846447 is a deficient number, since it is larger than the sum of its proper divisors (317555866513).

12004220846447 is a wasteful number, since it uses less digits than its factorization.

12004220846447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16055.

The product of its (nonzero) digits is 688128, while the sum is 44.

The spelling of 12004220846447 in words is "twelve trillion, four billion, two hundred twenty million, eight hundred forty-six thousand, four hundred forty-seven".

Divisors: 1 101 131 179 331 13231 15313 18079 23449 33431 43361 59249 1546613 2006003 2368349 2741027 4379461 5068603 5984149 7761619 202606303 276843727 359074537 511928903 663986993 783923519 907279937 36266528237 67062686293 91635273637 118853671747 12004220846447