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121000212012012 = 223431078059271939
BaseRepresentation
bin11011100000110010001110…
…101001111001101111101100
3120212102111200211010210020020
4123200302032221321233230
5111324431413233341022
61105202421403322140
734325656024050054
oct3340621651715754
9525374624123206
10121000212012012
11356109a1236943
12116a279a220350
13526936a5c70b8
1421c4627704564
15dec75e7ea35c
hex6e0c8ea79bec

121000212012012 has 96 divisors (see below), whose sum is σ = 291636984038400. Its totient is φ = 39022250202432.

The previous prime is 121000212012007. The next prime is 121000212012041. The reversal of 121000212012012 is 210210212000121.

It is a junction number, because it is equal to n+sod(n) for n = 121000212011982 and 121000212012000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444817539 + ... + 445089477.

It is an arithmetic number, because the mean of its divisors is an integer number (3037885250400).

Almost surely, 2121000212012012 is an apocalyptic number.

121000212012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121000212012012 is an abundant number, since it is smaller than the sum of its proper divisors (170636772026388).

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

121000212012012 is a wasteful number, since it uses less digits than its factorization.

121000212012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280155 (or 280153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121000212012012 its reverse (210210212000121), we get a palindrome (331210424012133).

The spelling of 121000212012012 in words is "one hundred twenty-one trillion, two hundred twelve million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 107 129 172 214 258 321 428 516 642 1284 4601 8059 9202 13803 16118 18404 24177 27606 32236 48354 55212 96708 271939 346537 543878 693074 815817 862313 1039611 1087756 1386148 1631634 1724626 2079222 2586939 3263268 3449252 4158444 5173878 10347756 11693377 23386754 29097473 35080131 37079459 46773508 58194946 70160262 74158918 87292419 111238377 116389892 140320524 148317836 174584838 222476754 349169676 444953508 1251191339 2191556401 2502382678 3753574017 4383112802 5004765356 6574669203 7507148034 8766225604 13149338406 15014296068 26298676812 94236925243 188473850486 234496534907 282710775729 376947700972 468993069814 565421551458 703489604721 937986139628 1130843102916 1406979209442 2813958418884 10083351001001 20166702002002 30250053003003 40333404004004 60500106006006 121000212012012