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1211222220200 = 235238956927361
BaseRepresentation
bin10001101000000010011…
…110000101110110101000
311021210101011021222000122
4101220002132011312220
5124321040342021300
62324232223422412
7153336134000126
oct21500236056650
94253334258018
101211222220200
11427749404243
121768aba54a08
138a2aa5794a5
14428a2b22916
1521790022c85
hex11a02785da8

1211222220200 has 96 divisors (see below), whose sum is σ = 2828396259000. Its totient is φ = 482376499200.

The previous prime is 1211222220199. The next prime is 1211222220227. The reversal of 1211222220200 is 20222221121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 399280324 + 1210822939876 = 19982^2 + 1100374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44254520 + ... + 44281880.

Almost surely, 21211222220200 is an apocalyptic number.

1211222220200 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 1211222220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414198129500).

1211222220200 is an abundant number, since it is smaller than the sum of its proper divisors (1617174038800).

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

1211222220200 is a wasteful number, since it uses less digits than its factorization.

1211222220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28335 (or 28326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1211222220200 its reverse (20222221121), we get a palindrome (1231444441321).

The spelling of 1211222220200 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 569 778 1138 1556 1945 2276 2845 3112 3890 4552 5690 7780 9725 11380 14225 15560 19450 22760 27361 28450 38900 54722 56900 77800 109444 113800 136805 218888 221341 273610 442682 547220 684025 885364 1094440 1106705 1368050 1770728 2213410 2736100 4426820 5472200 5533525 8853640 10643429 11067050 15568409 21286858 22134100 31136818 42573716 44268200 53217145 62273636 77842045 85147432 106434290 124547272 155684090 212868580 266085725 311368180 389210225 425737160 532171450 622736360 778420450 1064342900 1556840900 2128685800 3113681800 6056111101 12112222202 24224444404 30280555505 48448888808 60561111010 121122222020 151402777525 242244444040 302805555050 605611110100 1211222220200