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12022120 = 2351189307
BaseRepresentation
bin101101110111…
…000101101000
3211121210020201
4231313011220
511034201440
61105401544
7204120625
oct55670550
924553221
1012022120
116871440
1240392b4
13264c0a6
14184d34c
1510c719a
hexb77168

12022120 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4308480.

The previous prime is 12022103. The next prime is 12022133. The reversal of 12022120 is 2122021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12022097 and 12022106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39007 + ... + 39313.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 212022120 is an apocalyptic number.

12022120 is a gapful number since it is divisible by the number (10) 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 12022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12022120 is an abundant number, since it is smaller than the sum of its proper divisors (17915480).

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

12022120 is a wasteful number, since it uses less digits than its factorization.

12022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12022120 is about 3467.2928921566. The cubic root of 12022120 is about 229.0834348249.

Adding to 12022120 its reverse (2122021), we get a palindrome (14144141).

Subtracting from 12022120 its reverse (2122021), we obtain a palindrome (9900099).

The spelling of 12022120 in words is "twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 307 356 440 445 614 712 890 979 1228 1535 1780 1958 2456 3070 3377 3560 3916 4895 6140 6754 7832 9790 12280 13508 16885 19580 27016 27323 33770 39160 54646 67540 109292 135080 136615 218584 273230 300553 546460 601106 1092920 1202212 1502765 2404424 3005530 6011060 12022120