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12001121212302 = 2331779165482491
BaseRepresentation
bin1010111010100011101010…
…0100010001011110001110
31120111021222202211120221000
42232220322210101132032
53033111244012243202
641305123341321130
72346023654114025
oct256507244213616
946437882746830
1012001121212302
113907713068242
121419a932661a6
13690915a89711
142d6c0087d8bc
1515c29b59691c
hexaea3a91178e

12001121212302 has 64 divisors (see below), whose sum is σ = 28595374617600. Its totient is φ = 3717398655360.

The previous prime is 12001121212291. The next prime is 12001121212309. The reversal of 12001121212302 is 20321212110021.

12001121212302 is a `hidden beast` number, since 1 + 200 + 112 + 121 + 230 + 2 = 666.

12001121212302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120011212123022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001121212309) 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, 82668724 + ... + 82813767.

It is an arithmetic number, because the mean of its divisors is an integer number (446802728400).

Almost surely, 212001121212302 is an apocalyptic number.

12001121212302 is an abundant number, since it is smaller than the sum of its proper divisors (16594253405298).

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

12001121212302 is a wasteful number, since it uses less digits than its factorization.

12001121212302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165482598 (or 165482592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12001121212302 its reverse (20321212110021), we get a palindrome (32322333322323).

The spelling of 12001121212302 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 2133 2686 4029 4266 8058 12087 24174 36261 72522 165482491 330964982 496447473 992894946 1489342419 2813202347 2978684838 4468027257 5626404694 8439607041 8936054514 13073116789 16879214082 25318821123 26146233578 39219350367 50637642246 75956463369 78438700734 117658051101 151912926738 222242985413 235316102202 352974153303 444485970826 666728956239 705948306606 1333457912478 2000186868717 4000373737434 6000560606151 12001121212302