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12000202302321 = 3319432272396497
BaseRepresentation
bin1010111010100000001111…
…0010111010001101110001
31120111012121201202010102000
42232220003302322031301
53033102403242133241
641304452234044213
72345662125366132
oct256500362721561
946435551663360
1012000202302321
11390729139a602
121419877579669
136907ca5a1abc
142d6b547ddc89
1515c245a81eb6
hexaea03cba371

12000202302321 has 64 divisors (see below), whose sum is σ = 19233334348800. Its totient is φ = 7370202970368.

The previous prime is 12000202302311. The next prime is 12000202302331. The reversal of 12000202302321 is 12320320200021.

12000202302321 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 20 + 2 + 302 + 321 = 666.

12000202302321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12000202302311) and next prime (12000202302331).

It is a de Polignac number, because none of the positive numbers 2k-12000202302321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000202302294 and 12000202302303.

It is not an unprimeable number, because it can be changed into a prime (12000202302311) 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, 3809145 + ... + 6205641.

It is an arithmetic number, because the mean of its divisors is an integer number (300520849200).

Almost surely, 212000202302321 is an apocalyptic number.

It is an amenable number.

12000202302321 is a deficient number, since it is larger than the sum of its proper divisors (7233132046479).

12000202302321 is a wasteful number, since it uses less digits than its factorization.

12000202302321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396795 (or 2396789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12000202302321 its reverse (12320320200021), we get a palindrome (24320522502342).

The spelling of 12000202302321 in words is "twelve trillion, two hundred two million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 19 27 43 57 129 171 227 387 513 681 817 1161 2043 2451 4313 6129 7353 9761 12939 22059 29283 38817 87849 116451 185459 263547 556377 1669131 2396497 5007393 7189491 21568473 45533443 64705419 103049371 136600329 309148113 409800987 544004819 927444339 1229402961 1632014457 1957938049 2782333017 4896043371 5873814147 10336091561 14688130113 17621442441 23392207217 31008274683 52864327323 70176621651 93024824049 210529864953 279074472147 444451937123 631589594859 1333355811369 4000067434107 12000202302321