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12210120 = 23325132609
BaseRepresentation
bin101110100100…
…111111001000
3211222100010200
4232210333020
511111210440
61113412200
7205533006
oct56447710
924870120
1012210120
11698a70a
12410a060
1326b6830
14189ba76
151112c30
hexba4fc8

12210120 has 96 divisors (see below), whose sum is σ = 42751800. Its totient is φ = 3004416.

The previous prime is 12210119. The next prime is 12210137. The reversal of 12210120 is 2101221.

It can be written as a sum of positive squares in 4 ways, for example, as 7518564 + 4691556 = 2742^2 + 2166^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3376 + ... + 5984.

Almost surely, 212210120 is an apocalyptic number.

12210120 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 12210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375900).

12210120 is an abundant number, since it is smaller than the sum of its proper divisors (30541680).

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

12210120 is a wasteful number, since it uses less digits than its factorization.

12210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12210120 is about 3494.2982128033. The cubic root of 12210120 is about 230.2713872765.

Adding to 12210120 its reverse (2101221), we get a palindrome (14311341).

The spelling of 12210120 in words is "twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 2609 4680 5218 7827 10436 13045 15654 20872 23481 26090 31308 33917 39135 46962 52180 62616 67834 78270 93924 101751 104360 117405 135668 156540 169585 187848 203502 234810 271336 305253 313080 339170 407004 469620 508755 610506 678340 814008 939240 1017510 1221012 1356680 1526265 2035020 2442024 3052530 4070040 6105060 12210120