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121202212120 = 23511563673727
BaseRepresentation
bin111000011100000110…
…1101111110100011000
3102120211210100022111021
41300320031233310120
53441210231241440
6131402440012224
711520334543003
oct1607015576430
9376753308437
10121202212120
1147446541960
121b5a6461074
13b5772a46a2
145c1ac9053a
1532457cb84a
hex1c3836fd18

121202212120 has 128 divisors (see below), whose sum is σ = 298878128640. Its totient is φ = 43869450240.

The previous prime is 121202212073. The next prime is 121202212121. The reversal of 121202212120 is 21212202121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121202212094 and 121202212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121202212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166715197 + ... + 166715923.

It is an arithmetic number, because the mean of its divisors is an integer number (2334985380).

Almost surely, 2121202212120 is an apocalyptic number.

121202212120 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 121202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149439064320).

121202212120 is an abundant number, since it is smaller than the sum of its proper divisors (177675916520).

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

121202212120 is a wasteful number, since it uses less digits than its factorization.

121202212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121202212120 its reverse (21212202121), we get a palindrome (142414414241).

Subtracting from 121202212120 its reverse (21212202121), we obtain a palindrome (99990009999).

The spelling of 121202212120 in words is "one hundred twenty-one billion, two hundred two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 563 673 727 1126 1346 1454 2252 2692 2815 2908 3365 3635 4504 5384 5630 5816 6193 6730 7270 7403 7997 11260 12386 13460 14540 14806 15994 22520 24772 26920 29080 29612 30965 31988 37015 39985 49544 59224 61930 63976 74030 79970 123860 148060 159940 247720 296120 319880 378899 409301 489271 757798 818602 978542 1515596 1637204 1894495 1957084 2046505 2446355 3031192 3274408 3788990 3914168 4093010 4167889 4502311 4892710 5381981 7577980 8186020 8335778 9004622 9785420 10763962 15155960 16372040 16671556 18009244 19570840 20839445 21527924 22511555 26909905 33343112 36018488 41678890 43055848 45023110 53819810 83357780 90046220 107639620 166715560 180092440 215279240 275459573 550919146 1101838292 1377297865 2203676584 2754595730 3030055303 5509191460 6060110606 11018382920 12120221212 15150276515 24240442424 30300553030 60601106060 121202212120