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12200120011211 = 111221190828091
BaseRepresentation
bin1011000110001000111111…
…0100011100100111001011
31121012022122100011222201112
42301202033310130213023
53044341321210324321
641540354024240535
72366300230025306
oct261421764344713
947168570158645
1012200120011211
113984050765220
12145056b61014b
136a660a83aac2
143026bb9bdb3d
15162546b9da5b
hexb188fd1c9cb

12200120011211 has 8 divisors (see below), whose sum is σ = 13310311914048. Its totient is φ = 11090109789000.

The previous prime is 12200120011187. The next prime is 12200120011259. The reversal of 12200120011211 is 11211002100221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12200120011211 - 210 = 12200120010187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200120016211) 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 7 ways as a sum of consecutive naturals, for example, 45279725 + ... + 45548366.

It is an arithmetic number, because the mean of its divisors is an integer number (1663788989256).

Almost surely, 212200120011211 is an apocalyptic number.

12200120011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200120011211 is a deficient number, since it is larger than the sum of its proper divisors (1110191902837).

12200120011211 is a wasteful number, since it uses less digits than its factorization.

12200120011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90840313.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12200120011211 its reverse (11211002100221), we get a palindrome (23411122111432).

The spelling of 12200120011211 in words is "twelve trillion, two hundred billion, one hundred twenty million, eleven thousand, two hundred eleven".

Divisors: 1 11 12211 134321 90828091 999109001 1109101819201 12200120011211