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12211102200011 = 11132331769155741
BaseRepresentation
bin1011000110110001111001…
…1010001011000011001011
31121020100222201002222120212
42301230132122023003023
53100031314130400021
641545411454511335
72400136332056411
oct261543632130313
947210881088525
1012211102200011
113988776938210
12145271550554b
136a766ab6a380
143030403752b1
1516298adc085b
hexb1b1e68b0cb

12211102200011 has 64 divisors (see below), whose sum is σ = 15472730972160. Its totient is φ = 9472978944000.

The previous prime is 12211102199981. The next prime is 12211102200047. The reversal of 12211102200011 is 11000220111221.

12211102200011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211102200011 - 214 = 12211102183627 is a prime.

It is a super-2 number, since 2×122111022000112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211102200061) 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, 78328601 + ... + 78484341.

It is an arithmetic number, because the mean of its divisors is an integer number (241761421440).

Almost surely, 212211102200011 is an apocalyptic number.

12211102200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211102200011 is a deficient number, since it is larger than the sum of its proper divisors (3261628772149).

12211102200011 is a wasteful number, since it uses less digits than its factorization.

12211102200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156588.

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

Adding to 12211102200011 its reverse (11000220111221), we get a palindrome (23211322311232).

The spelling of 12211102200011 in words is "twelve trillion, two hundred eleven billion, one hundred two million, two hundred thousand, eleven".

Divisors: 1 11 13 23 31 143 253 299 341 403 713 769 3289 4433 7843 8459 9269 9997 17687 23839 101959 109967 155741 194557 229931 262229 309907 548297 1713151 2024633 2529241 3408977 3582043 4827971 6031267 7127861 22270963 39402473 46566559 53107681 62763623 78406471 111043333 119764829 512232149 690399853 1221476663 1317413119 1443563329 1556942777 2754591067 3712709699 15879196619 17126370547 30300501737 35809683871 40839806689 48265226087 85392323077 393906522581 530917486957 939315553847 1110100200001 12211102200011