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12210955668 = 2232232641197
BaseRepresentation
bin10110101111101010…
…00110010110010100
31011112000001211010100
423113311012112110
5200002001040133
65335403054100
7611412260562
oct132765062624
934460054110
1012210955668
1151a68477aa
122449511330
1311c7a86672
1483ba52a32
154b7040e13
hex2d7d46594

12210955668 has 54 divisors (see below), whose sum is σ = 32267006954. Its totient is φ = 3893342112.

The previous prime is 12210955643. The next prime is 12210955693. The reversal of 12210955668 is 86655901221.

12210955668 is a `hidden beast` number, since 1 + 22 + 10 + 9 + 556 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (12210955643) and next prime (12210955693).

It can be written as a sum of positive squares in only one way, i.e., 10598290704 + 1612664964 = 102948^2 + 40158^2 .

It is a super-2 number, since 2×122109556682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 301555 + ... + 339642.

Almost surely, 212210955668 is an apocalyptic number.

12210955668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12210955668 is an abundant number, since it is smaller than the sum of its proper divisors (20056051286).

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

12210955668 is a wasteful number, since it uses less digits than its factorization.

12210955668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641253 (or 641225 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12210955668 in words is "twelve billion, two hundred ten million, nine hundred fifty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 641197 1282394 1923591 2564788 3847182 5770773 7694364 11541546 14747531 23083092 29495062 44242593 58990124 88485186 132727779 176970372 265455558 339193213 530911116 678386426 1017579639 1356772852 2035159278 3052738917 4070318556 6105477834 12210955668