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121212120200 = 23521097737193
BaseRepresentation
bin111000011100011001…
…1100010110010001000
3102120212110222200211012
41300320303202302020
53441220300321300
6131403432223052
711520515010353
oct1607063426210
9376773880735
10121212120200
1147451099a56
121b5a983aa88
13b579363462
145c1c30d29a
1532465d7435
hex1c38ce2c88

121212120200 has 96 divisors (see below), whose sum is σ = 284811179400. Its totient is φ = 47971215360.

The previous prime is 121212120191. The next prime is 121212120221. The reversal of 121212120200 is 2021212121.

It can be written as a sum of positive squares in 12 ways, for example, as 3904500196 + 117307620004 = 62486^2 + 342502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16847804 + ... + 16854996.

Almost surely, 2121212120200 is an apocalyptic number.

121212120200 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 121212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142405589700).

121212120200 is an abundant number, since it is smaller than the sum of its proper divisors (163599059200).

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

121212120200 is a wasteful number, since it uses less digits than its factorization.

121212120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8091 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121212120200 its reverse (2021212121), we get a palindrome (123233332321).

It can be divided in two parts, 1212121 and 20200, that added together give a palindrome (1232321).

The spelling of 121212120200 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 773 872 1090 1546 2180 2725 3092 3865 4360 5450 6184 7193 7730 10900 14386 15460 19325 21800 28772 30920 35965 38650 57544 71930 77300 84257 143860 154600 168514 179825 287720 337028 359650 421285 674056 719300 784037 842570 1438600 1568074 1685140 2106425 3136148 3370280 3920185 4212850 5560189 6272296 7840370 8425700 11120378 15680740 16851400 19600925 22240756 27800945 31361480 39201850 44481512 55601890 78403700 111203780 139004725 156807400 222407560 278009450 556018900 606060601 1112037800 1212121202 2424242404 3030303005 4848484808 6060606010 12121212020 15151515025 24242424040 30303030050 60606060100 121212120200