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122221200212111 = 711132311759172243
BaseRepresentation
bin11011110010100011010111…
…001110010000000010001111
3121000202020021120211221011002
4123302203113032100002033
5112004433004223241421
61111535351054050515
734513122164363630
oct3362432716200217
9530666246757132
10122221200212111
1135a417a1246350
121185b3547a9a3b
135327543224a00
14222777546d887
15e1e3c1da1b0b
hex6f28d739008f

122221200212111 has 96 divisors (see below), whose sum is σ = 170423339581440. Its totient is φ = 85026643228800.

The previous prime is 122221200212063. The next prime is 122221200212141. The reversal of 122221200212111 is 111212002122221.

It is a de Polignac number, because none of the positive numbers 2k-122221200212111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221200212141) 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 95 ways as a sum of consecutive naturals, for example, 709499756 + ... + 709671998.

It is an arithmetic number, because the mean of its divisors is an integer number (1775243120640).

Almost surely, 2122221200212111 is an apocalyptic number.

122221200212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122221200212111 is a deficient number, since it is larger than the sum of its proper divisors (48202139369329).

122221200212111 is a wasteful number, since it uses less digits than its factorization.

122221200212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174077 (or 174064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122221200212111 its reverse (111212002122221), we get a palindrome (233433202334332).

The spelling of 122221200212111 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred million, two hundred twelve thousand, one hundred eleven".

Divisors: 1 7 11 13 31 77 91 143 169 217 341 403 1001 1183 1759 1859 2387 2821 4433 5239 12313 13013 19349 22867 31031 36673 54529 57629 135443 160069 172243 251537 297271 381703 403403 599819 708877 1205701 1760759 1894673 2080897 2239159 3269981 4198733 4962139 5339533 7797647 9215401 13262711 15674113 22889867 24630749 29109067 37376731 54583529 58734863 64507807 69413929 101369411 172415243 203763469 302975437 320199737 411144041 485897503 709585877 763553219 902381077 2120828059 2241398159 3332729807 3938680681 5344872533 6316667539 9392238547 9926191847 23329108649 27570764767 43325487491 51202848853 65745669829 69483342929 103314624017 122099101111 303278412437 358419941971 563231337383 723202368119 854693707777 1343090112221 1587288314443 3942619361681 9401630785547 11111018201101 17460171458873 122221200212111