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12200211200199 = 3111019901369703
BaseRepresentation
bin1011000110001001010101…
…0000010011100011000111
31121012022212200202212111110
42301202111100103203013
53044342013031401244
641540411042540103
72366302415102361
oct261422520234307
947168780685443
1012200211200199
113984098188920
121450596067633
136a66236b7c99
143026c9b59d31
1516254ebb29b9
hexb18954138c7

12200211200199 has 32 divisors (see below), whose sum is σ = 17923320903168. Its totient is φ = 7320099600000.

The previous prime is 12200211200197. The next prime is 12200211200209. The reversal of 12200211200199 is 99100211200221.

It is not a de Polignac number, because 12200211200199 - 21 = 12200211200197 is a prime.

It is a super-2 number, since 2×122002112001992 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200211200197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32815182 + ... + 33184884.

It is an arithmetic number, because the mean of its divisors is an integer number (560103778224).

Almost surely, 212200211200199 is an apocalyptic number.

12200211200199 is a deficient number, since it is larger than the sum of its proper divisors (5723109702969).

12200211200199 is a wasteful number, since it uses less digits than its factorization.

12200211200199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379719.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 12200211200199 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred thousand, one hundred ninety-nine".

Divisors: 1 3 11 33 101 303 1111 3333 9901 29703 108911 326733 369703 1000001 1109109 3000003 4066733 11000011 12200199 33000033 37340003 112020009 410740033 1232220099 3660429403 10981288209 40264723433 120794170299 369703369703 1109110109109 4066737066733 12200211200199