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12221303120200 = 2352152077401813
BaseRepresentation
bin1011000111010111111001…
…1011100110000101001000
31121021100022121221102101201
42301311332123212011020
53100213212044321300
641554220015553544
72400650166340456
oct261657633460510
947240277842351
1012221303120200
113992031003569
1214546a182b8b4
136a8605374915
1430372b0799d6
15162d8671a66a
hexb1d7e6e6148

12221303120200 has 48 divisors (see below), whose sum is σ = 28414787313780. Its totient is φ = 4888476936960.

The previous prime is 12221303120149. The next prime is 12221303120207. The reversal of 12221303120200 is 202130312221.

It can be written as a sum of positive squares in 6 ways, for example, as 678854053476 + 11542449066724 = 823926^2 + 3397418^2 .

It is not an unprimeable number, because it can be changed into a prime (12221303120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30214494 + ... + 30616306.

Almost surely, 212221303120200 is an apocalyptic number.

12221303120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221303120200 is an abundant number, since it is smaller than the sum of its proper divisors (16193484193580).

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

12221303120200 is a wasteful number, since it uses less digits than its factorization.

12221303120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553906 (or 553897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12221303120200 its reverse (202130312221), we get a palindrome (12423433432421).

The spelling of 12221303120200 in words is "twelve trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 152077 304154 401813 608308 760385 803626 1216616 1520770 1607252 2009065 3041540 3214504 3801925 4018130 6083080 7603850 8036260 10045325 15207700 16072520 20090650 30415400 40181300 80362600 61106515601 122213031202 244426062404 305532578005 488852124808 611065156010 1222130312020 1527662890025 2444260624040 3055325780050 6110651560100 12221303120200