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12102212200 = 2352134654697
BaseRepresentation
bin10110100010101100…
…10001101001101000
31011020102110002010111
423101112101221220
5144241131242300
65320520224104
7605622051331
oct132126215150
934212402114
1012102212200
115150424171
12241900b034
1311ab3a1210
1482b427288
154ac7109ba
hex2d1591a68

12102212200 has 48 divisors (see below), whose sum is σ = 30302083980. Its totient is φ = 4468508160.

The previous prime is 12102212191. The next prime is 12102212207. The reversal of 12102212200 is 221220121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4368416836 + 7733795364 = 66094^2 + 87942^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12102212207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324749 + ... + 2329948.

Almost surely, 212102212200 is an apocalyptic number.

12102212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102212200 is an abundant number, since it is smaller than the sum of its proper divisors (18199871780).

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

12102212200 is a wasteful number, since it uses less digits than its factorization.

12102212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654726 (or 4654717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12102212200 its reverse (221220121), we get a palindrome (12323432321).

The spelling of 12102212200 in words is "twelve billion, one hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4654697 9309394 18618788 23273485 37237576 46546970 60511061 93093940 116367425 121022122 186187880 232734850 242044244 302555305 465469700 484088488 605110610 930939400 1210221220 1512776525 2420442440 3025553050 6051106100 12102212200