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12221001220200 = 2335227417430987
BaseRepresentation
bin1011000111010110110001…
…1011111100000001101000
31121021022112120212022110020
42301311230123330001220
53100212102303021300
641554130033120440
72400636542255523
oct261655433740150
947238476768406
1012221001220200
113991996651633
1214546186b9120
136a8587960076
143036dcd2dbba
15162d69e838a0
hexb1d6c6fc068

12221001220200 has 96 divisors (see below), whose sum is σ = 37898930518560. Its totient is φ = 3257744262400.

The previous prime is 12221001220163. The next prime is 12221001220217. The reversal of 12221001220200 is 202210012221.

12221001220200 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 12221001220200.

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, 2070894 + ... + 5360093.

It is an arithmetic number, because the mean of its divisors is an integer number (394780526235).

Almost surely, 212221001220200 is an apocalyptic number.

12221001220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221001220200 is an abundant number, since it is smaller than the sum of its proper divisors (25677929298360).

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

12221001220200 is a wasteful number, since it uses less digits than its factorization.

12221001220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433747 (or 7433738 counting only the distinct ones).

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

Adding to 12221001220200 its reverse (202210012221), we get a palindrome (12423211232421).

The spelling of 12221001220200 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2741 5482 8223 10964 13705 16446 21928 27410 32892 41115 54820 65784 68525 82230 109640 137050 164460 205575 274100 328920 411150 548200 822300 1644600 7430987 14861974 22292961 29723948 37154935 44585922 59447896 74309870 89171844 111464805 148619740 178343688 185774675 222929610 297239480 371549350 445859220 557324025 743098700 891718440 1114648050 1486197400 2229296100 4458592200 20368335367 40736670734 61105006101 81473341468 101841676835 122210012202 162946682936 203683353670 244420024404 305525030505 407366707340 488840048808 509208384175 611050061010 814733414680 1018416768350 1222100122020 1527625152525 2036833536700 2444200244040 3055250305050 4073667073400 6110500610100 12221001220200