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12110010012120 = 23352313133493777
BaseRepresentation
bin1011000000111001010011…
…0110000101000111011000
31120212201001102022202012210
42300032110312011013120
53041402300030341440
641431132314235120
72356630223462556
oct260162466050730
946781042282183
1012110010012120
11394990aa43199
121437001a25aa0
1369ac79cb3a07
142dc1b024abd6
15160020d44a80
hexb0394d851d8

12110010012120 has 128 divisors (see below), whose sum is σ = 38198983933440. Its totient is φ = 3065350379520.

The previous prime is 12110010012109. The next prime is 12110010012127. The reversal of 12110010012120 is 2121001001121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12110010012096 and 12110010012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110010012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16385329 + ... + 17108448.

It is an arithmetic number, because the mean of its divisors is an integer number (298429561980).

Almost surely, 212110010012120 is an apocalyptic number.

12110010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110010012120 is an abundant number, since it is smaller than the sum of its proper divisors (26088973921320).

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

12110010012120 is a wasteful number, since it uses less digits than its factorization.

12110010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33493945 (or 33493941 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110010012120 its reverse (2121001001121), we get a palindrome (14231011013241).

The spelling of 12110010012120 in words is "twelve trillion, one hundred ten billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 131 138 184 230 262 276 345 393 460 524 552 655 690 786 920 1048 1310 1380 1572 1965 2620 2760 3013 3144 3930 5240 6026 7860 9039 12052 15065 15720 18078 24104 30130 36156 45195 60260 72312 90390 120520 180780 361560 33493777 66987554 100481331 133975108 167468885 200962662 267950216 334937770 401925324 502406655 669875540 770356871 803850648 1004813310 1339751080 1540713742 2009626620 2311070613 3081427484 3851784355 4019253240 4387684787 4622141226 6162854968 7703568710 8775369574 9244282452 11555353065 13163054361 15407137420 17550739148 18488564904 21938423935 23110706130 26326108722 30814274840 35101478296 43876847870 46221412260 52652217444 65815271805 87753695740 92442824520 100916750101 105304434888 131630543610 175507391480 201833500202 263261087220 302750250303 403667000404 504583750505 526522174440 605500500606 807334000808 1009167501010 1211001001212 1513751251515 2018335002020 2422002002424 3027502503030 4036670004040 6055005006060 12110010012120