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108120012 = 223711139001
BaseRepresentation
bin1100111000111…
…00011111001100
321112110001202220
412130130133030
5210134320022
614421215340
72452001460
oct634343714
9245401686
10108120012
1156038190
1230261550
1319527750
14105064a0
15975a85c
hex671c7cc

108120012 has 96 divisors (see below), whose sum is σ = 338763264. Its totient is φ = 25920000.

The previous prime is 108120011. The next prime is 108120029. The reversal of 108120012 is 210021801.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 108119973 and 108120000.

It is not an unprimeable number, because it can be changed into a prime (108120011) 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, 7512 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (3528784).

Almost surely, 2108120012 is an apocalyptic number.

108120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169381632).

108120012 is an abundant number, since it is smaller than the sum of its proper divisors (230643252).

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

108120012 is a wasteful number, since it uses less digits than its factorization.

108120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9037 counting only the distinct ones).

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

The square root of 108120012 is about 10398.0773222745. The cubic root of 108120012 is about 476.3966458250.

Adding to 108120012 its reverse (210021801), we get a palindrome (318141813).

The spelling of 108120012 in words is "one hundred eight million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 9001 12012 18002 27003 36004 54006 63007 99011 108012 117013 126014 189021 198022 234026 252028 297033 351039 378042 396044 468052 594066 693077 702078 756084 819091 1188132 1287143 1386154 1404156 1638182 2079231 2457273 2574286 2772308 3276364 3861429 4158462 4914546 5148572 7722858 8316924 9010001 9829092 15445716 18020002 27030003 36040004 54060006 108120012