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12200011100211 = 31143101239356171
BaseRepresentation
bin1011000110001000100101…
…0100111111000000110011
31121012022100202020201220210
42301202021110333000303
53044341110320201321
641540335134035203
72366264435220444
oct261421124770063
947168322221823
1012200011100211
113983aa5237830
12145053b048b03
136a65c10c731c
143026ab34d2cb
1516253c338b76
hexb188953f033

12200011100211 has 64 divisors (see below), whose sum is σ = 18414719262720. Its totient is φ = 7120550640000.

The previous prime is 12200011100191. The next prime is 12200011100213. The reversal of 12200011100211 is 11200111000221.

It is not a de Polignac number, because 12200011100211 - 237 = 12062572146739 is a prime.

It is a super-2 number, since 2×122000111002112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200011100213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34075156 + ... + 34431326.

It is an arithmetic number, because the mean of its divisors is an integer number (287729988480).

Almost surely, 212200011100211 is an apocalyptic number.

12200011100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200011100211 is a deficient number, since it is larger than the sum of its proper divisors (6214708162509).

12200011100211 is a wasteful number, since it uses less digits than its factorization.

12200011100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356568.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200011100211 its reverse (11200111000221), we get a palindrome (23400122100432).

It can be divided in two parts, 122000 and 11100211, that added together give a palindrome (11222211).

The spelling of 12200011100211 in words is "twelve trillion, two hundred billion, eleven million, one hundred thousand, two hundred eleven".

Divisors: 1 3 11 33 43 101 129 239 303 473 717 1111 1419 2629 3333 4343 7887 10277 13029 24139 30831 47773 72417 113047 143319 265529 339141 356171 796587 1037977 1068513 3113931 3917881 11417747 11753643 15315353 34253241 35973271 45946059 85124869 107919813 168468883 255374607 395705981 505406649 936373559 1187117943 1546850653 2809120677 3660369367 4640551959 8597611769 10981108101 17015357183 25792835307 40264063037 51046071549 94573729459 120792189111 283721188377 369697306067 1109091918201 4066670366737 12200011100211