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12221202020200 = 2352101605010001
BaseRepresentation
bin1011000111010111100001…
…1001111011011101101000
31121021100001120201000021021
42301311320121323131220
53100213010204121300
641554202005022224
72400644531114335
oct261657031733550
947240046630237
1012221202020200
113991a89a30648
1214546739b4974
136a85ba437534
1430371b87d98c
15162d7c8e9d1a
hexb1d7867b768

12221202020200 has 48 divisors (see below), whose sum is σ = 28695624394860. Its totient is φ = 4840080000000.

The previous prime is 12221202020149. The next prime is 12221202020207. The reversal of 12221202020200 is 202020212221.

It can be written as a sum of positive squares in 6 ways, for example, as 11269301292484 + 951900727716 = 3356978^2 + 975654^2 .

It is a super-2 number, since 2×122212020202002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221202020207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302484801 + ... + 302525200.

Almost surely, 212221202020200 is an apocalyptic number.

12221202020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221202020200 is an abundant number, since it is smaller than the sum of its proper divisors (16474422374660).

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

12221202020200 is a wasteful number, since it uses less digits than its factorization.

12221202020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605010118 (or 605010109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12221202020200 its reverse (202020212221), we get a palindrome (12423222232421).

The spelling of 12221202020200 in words is "twelve trillion, two hundred twenty-one billion, two hundred two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 605010001 1210020002 2420040004 3025050005 4840080008 6050100010 12100200020 15125250025 24200400040 30250500050 60501000100 61106010101 121002000200 122212020202 244424040404 305530050505 488848080808 611060101010 1222120202020 1527650252525 2444240404040 3055300505050 6110601010100 12221202020200