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12200211200200 = 235261001056001
BaseRepresentation
bin1011000110001001010101…
…0000010011100011001000
31121012022212200202212111111
42301202111100103203020
53044342013031401300
641540411042540104
72366302415102362
oct261422520234310
947168780685444
1012200211200200
113984098188921
121450596067634
136a66236b7c9a
143026c9b59d32
1516254ebb29ba
hexb18954138c8

12200211200200 has 24 divisors (see below), whose sum is σ = 28365491040930. Its totient is φ = 4880084480000.

The previous prime is 12200211200197. The next prime is 12200211200209. The reversal of 12200211200200 is 200211200221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5583967493764 + 6616243706436 = 2363042^2 + 2572206^2 .

It is not an unprimeable number, because it can be changed into a prime (12200211200209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30500527801 + ... + 30500528200.

Almost surely, 212200211200200 is an apocalyptic number.

12200211200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200211200200 is an abundant number, since it is smaller than the sum of its proper divisors (16165279840730).

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

12200211200200 is a wasteful number, since it uses less digits than its factorization.

12200211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61001056017 (or 61001056008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200211200200 its reverse (200211200221), we get a palindrome (12400422400421).

The spelling of 12200211200200 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61001056001 122002112002 244004224004 305005280005 488008448008 610010560010 1220021120020 1525026400025 2440042240040 3050052800050 6100105600100 12200211200200