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12220002000200 = 2352829382119289
BaseRepresentation
bin1011000111010011000011…
…1000001101110101001000
31121021012221221122200022002
42301310300320031311020
53100203031003001300
641553442540250132
72400603020113631
oct261646070156510
947235857580262
1012220002000200
113991523610885
121454399b40948
136a8458936c27
14303646346888
15162d0c3a85d5
hexb1d30e0dd48

12220002000200 has 96 divisors (see below), whose sum is σ = 28454696361000. Its totient is φ = 4880573798400.

The previous prime is 12220002000187. The next prime is 12220002000203. The reversal of 12220002000200 is 200020002221.

It can be written as a sum of positive squares in 12 ways, for example, as 4120388455876 + 8099613544324 = 2029874^2 + 2845982^2 .

12220002000200 is a modest number, since divided by 2000200 gives 122200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12220002000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633512156 + ... + 633531444.

Almost surely, 212220002000200 is an apocalyptic number.

12220002000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220002000200 is an abundant number, since it is smaller than the sum of its proper divisors (16234694360800).

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

12220002000200 is a wasteful number, since it uses less digits than its factorization.

12220002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23955 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12220002000200 its reverse (200020002221), we get a palindrome (12420022002421).

The spelling of 12220002000200 in words is "twelve trillion, two hundred twenty billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 829 1658 3316 3821 4145 6632 7642 8290 15284 16580 19105 19289 20725 30568 33160 38210 38578 41450 76420 77156 82900 95525 96445 152840 154312 165800 191050 192890 382100 385780 482225 764200 771560 964450 1928900 3167609 3857800 6335218 12670436 15838045 15990581 25340872 31676090 31981162 63352180 63962324 73703269 79190225 79952905 126704360 127924648 147406538 158380450 159905810 294813076 316760900 319811620 368516345 399764525 589626152 633521800 639623240 737032690 799529050 1474065380 1599058100 1842581725 2948130760 3198116200 3685163450 7370326900 14740653800 61100010001 122200020002 244400040004 305500050005 488800080008 611000100010 1222000200020 1527500250025 2444000400040 3055000500050 6110001000100 12220002000200