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12205212 = 2235917239
BaseRepresentation
bin101110100011…
…110010011100
3211222002101220
4232203302130
511111031322
61113333340
7205512465
oct56436234
924862356
1012205212
116986a58
124107250
1326b4526
141899d6c
15111155c
hexba3c9c

12205212 has 24 divisors (see below), whose sum is σ = 28963200. Its totient is φ = 3999216.

The previous prime is 12205181. The next prime is 12205213. The reversal of 12205212 is 21250221.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12205191 and 12205200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7912 + ... + 9327.

It is an arithmetic number, because the mean of its divisors is an integer number (1206800).

Almost surely, 212205212 is an apocalyptic number.

12205212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12205212 is an abundant number, since it is smaller than the sum of its proper divisors (16757988).

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

12205212 is a wasteful number, since it uses less digits than its factorization.

12205212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17303 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12205212 is about 3493.5958552758. The cubic root of 12205212 is about 230.2405297193.

Adding to 12205212 its reverse (21250221), we get a palindrome (33455433).

The spelling of 12205212 in words is "twelve million, two hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 17239 34478 51717 68956 103434 206868 1017101 2034202 3051303 4068404 6102606 12205212