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1212212211100 = 22521110118775813
BaseRepresentation
bin10001101000111101011…
…110100110110110011100
311021212221011010201020021
4101220331132212312130
5124330102311223400
62324514350401524
7153402514533022
oct21507536466634
94255834121207
101212212211100
11428107211040
12176b275002a4
138a4076c0917
14429583c6712
15217ebdc871a
hex11a3d7a6d9c

1212212211100 has 144 divisors (see below), whose sum is σ = 2900091944736. Its totient is φ = 436132480000.

The previous prime is 1212212211097. The next prime is 1212212211109. The reversal of 1212212211100 is 11122122121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212212211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208531794 + ... + 208537606.

It is an arithmetic number, because the mean of its divisors is an integer number (20139527394).

Almost surely, 21212212211100 is an apocalyptic number.

1212212211100 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 1212212211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450045972368).

1212212211100 is an abundant number, since it is smaller than the sum of its proper divisors (1687879733636).

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

1212212211100 is a wasteful number, since it uses less digits than its factorization.

1212212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1212212211100 its reverse (11122122121), we get a palindrome (1223334333221).

The spelling of 1212212211100 in words is "one trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 1877 2020 2222 2525 3754 4444 5050 5555 5813 7508 9385 10100 11110 11626 18770 20647 22220 23252 27775 29065 37540 41294 46925 55550 58130 63943 82588 93850 103235 111100 116260 127886 145325 187700 189577 206470 255772 290650 319715 379154 412940 516175 581300 587113 639430 758308 947885 1032350 1174226 1278860 1598575 1895770 2064700 2085347 2348452 2935565 3197150 3791540 4170694 4739425 5871130 6394300 6458243 8341388 9478850 10426735 10911001 11742260 12916486 14677825 18957700 20853470 21822002 25832972 29355650 32291215 41706940 43644004 52133675 54555005 58711300 64582430 104267350 109110010 120021011 129164860 161456075 208534700 218220020 240042022 272775025 322912150 480084044 545550050 600105055 645824300 1091100100 1102011101 1200210110 2204022202 2400420220 3000525275 4408044404 5510055505 6001050550 11020111010 12002101100 12122122111 22040222020 24244244222 27550277525 48488488444 55100555050 60610610555 110201110100 121221221110 242442442220 303053052775 606106105550 1212212211100