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12122200120200 = 2335228371391049
BaseRepresentation
bin1011000001100110101101…
…1011101001101110001000
31120220212111222011101211020
42300121223123221232020
53042102231212321300
641440510054432440
72360541263624352
oct260315333515610
946825458141736
1012122200120200
113953aa5a40885
121439444362720
1369c17064b211
142dca091d40d2
151604d61188a0
hexb066b6e9b88

12122200120200 has 96 divisors (see below), whose sum is σ = 37711608252000. Its totient is φ = 3221164085760.

The previous prime is 12122200120181. The next prime is 12122200120273. The reversal of 12122200120200 is 202100222121.

12122200120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122200120200.

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, 35525725 + ... + 35865324.

It is an arithmetic number, because the mean of its divisors is an integer number (392829252625).

Almost surely, 212122200120200 is an apocalyptic number.

12122200120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122200120200 is an abundant number, since it is smaller than the sum of its proper divisors (25589408131800).

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

12122200120200 is a wasteful number, since it uses less digits than its factorization.

12122200120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71391351 (or 71391342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122200120200 its reverse (202100222121), we get a palindrome (12324300342321).

The spelling of 12122200120200 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 283 300 566 600 849 1132 1415 1698 2264 2830 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 33960 42450 56600 84900 169800 71391049 142782098 214173147 285564196 356955245 428346294 571128392 713910490 856692588 1070865735 1427820980 1713385176 1784776225 2141731470 2855641960 3569552450 4283462940 5354328675 7139104900 8566925880 10708657350 14278209800 20203666867 21417314700 40407333734 42834629400 60611000601 80814667468 101018334335 121222001202 161629334936 202036668670 242444002404 303055003005 404073337340 484888004808 505091671675 606110006010 808146674680 1010183343350 1212220012020 1515275015025 2020366686700 2424440024040 3030550030050 4040733373400 6061100060100 12122200120200