Search a number
-
+
12200000200192 = 2978933381061
BaseRepresentation
bin1011000110001000100010…
…1011011001111000000000
31121012022022222201221220101
42301202020223121320000
53044341100022401232
641540334104252144
72366264243452120
oct261421053317000
947168288657811
1012200000200192
113983a9a072452
121450537471054
136a65bba7bbcc
143026a9b12c80
1516253b3d41e7
hexb1888ad9e00

12200000200192 has 80 divisors (see below), whose sum is σ = 27861674319072. Its totient is φ = 5227972485120.

The previous prime is 12200000200189. The next prime is 12200000200351. The reversal of 12200000200192 is 29100200000221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31825342 + ... + 32206402.

Almost surely, 212200000200192 is an apocalyptic number.

It is an amenable number.

12200000200192 is an abundant number, since it is smaller than the sum of its proper divisors (15661674118880).

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

12200000200192 is an frugal number, since it uses more digits than its factorization.

12200000200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390019 (or 390003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 12200000200192 in words is "twelve trillion, two hundred billion, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 8933 17866 35732 62531 71464 125062 142928 250124 285856 381061 500248 571712 762122 1000496 1143424 1524244 2000992 2286848 2667427 3048488 4001984 4573696 5334854 6096976 8003968 10669708 12193952 16007936 21339416 24387904 32015872 42678832 48775808 85357664 97551616 170715328 195103232 341430656 682861312 1365722624 3404017913 6808035826 13616071652 23828125391 27232143304 47656250782 54464286608 95312501564 108928573216 190625003128 217857146432 381250006256 435714292864 762500012512 871428585728 1525000025024 1742857171456 3050000050048 6100000100096 12200000200192