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12100212 = 2233181619
BaseRepresentation
bin101110001010…
…001001110100
3211202202101000
4232022021310
511044201322
61111203300
7204564405
oct56121164
924682330
1012100212
116915083
124076530
1326787b7
14186d9ac
1510e03ac
hexb8a274

12100212 has 48 divisors (see below), whose sum is σ = 31595200. Its totient is φ = 4004640.

The previous prime is 12100211. The next prime is 12100219. The reversal of 12100212 is 21200121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100194 and 12100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19239 + ... + 19857.

Almost surely, 212100212 is an apocalyptic number.

12100212 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 12100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797600).

12100212 is an abundant number, since it is smaller than the sum of its proper divisors (19494988).

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

12100212 is a wasteful number, since it uses less digits than its factorization.

12100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

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

The square root of 12100212 is about 3478.5358989092. The cubic root of 12100212 is about 229.5783832392.

Adding to 12100212 its reverse (21200121), we get a palindrome (33300333).

Subtracting 12100212 from its reverse (21200121), we obtain a palindrome (9099909).

The spelling of 12100212 in words is "twelve million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 619 724 1086 1238 1629 1857 2172 2476 3258 3714 4887 5571 6516 7428 9774 11142 16713 19548 22284 33426 66852 112039 224078 336117 448156 672234 1008351 1344468 2016702 3025053 4033404 6050106 12100212