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12200000000000 = 21251161
BaseRepresentation
bin1011000110001000100010…
…1010101001000000000000
31121012022022222100210021212
42301202020222221000000
53044341100000000000
641540334100105252
72366264241656351
oct261421052510000
947168288323255
1012200000000000
113983a99a45aaa
121450537395228
136a65bba0ba57
143026a9a9dd28
1516253b394c35
hexb1888aa9000

12200000000000 has 312 divisors, whose sum is σ = 30996215693352. Its totient is φ = 4800000000000.

The previous prime is 12199999999963. The next prime is 12200000000039. The reversal of 12200000000000 is 221.

It can be written as a sum of positive squares in 12 ways, for example, as 9514806513664 + 2685193486336 = 3084608^2 + 1638656^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199999999970 + ... + 200000000030.

It is an arithmetic number, because the mean of its divisors is an integer number (99346845171).

Almost surely, 212200000000000 is an apocalyptic number.

12200000000000 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 12200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498107846676).

12200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (18796215693352).

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

12200000000000 is an frugal number, since it uses more digits than its factorization.

12200000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 12200000000000 its reverse (221), we get a palindrome (12200000000221).

The spelling of 12200000000000 in words is "twelve trillion, two hundred billion", and thus it is an aban number.