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12200122120100 = 2252122001221201
BaseRepresentation
bin1011000110001000111111…
…1100011111011110100100
31121012022122111011010120112
42301202033330133132210
53044341322230320400
641540354141352152
72366300253660545
oct261421774373644
947168574133515
1012200122120100
113984051975702
121450570268658
136a660b0c8975
143026bbdac4cc
15162546e68835
hexb188ff1f7a4

12200122120100 has 18 divisors (see below), whose sum is σ = 26474265000834. Its totient is φ = 4880048848000.

The previous prime is 12200122120093. The next prime is 12200122120111. The reversal of 12200122120100 is 102122100221.

It can be written as a sum of positive squares in 3 ways, for example, as 55775324224 + 12144346795876 = 236168^2 + 3484874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61000610501 + ... + 61000610700.

Almost surely, 212200122120100 is an apocalyptic number.

12200122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200122120100 is an abundant number, since it is smaller than the sum of its proper divisors (14274142880734).

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

12200122120100 is a wasteful number, since it uses less digits than its factorization.

12200122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122001221215 (or 122001221208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200122120100 its reverse (102122100221), we get a palindrome (12302244220321).

The spelling of 12200122120100 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122001221201 244002442402 488004884804 610006106005 1220012212010 2440024424020 3050030530025 6100061060050 12200122120100