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122112201200110 = 251117151681430513
BaseRepresentation
bin11011110000111101110110…
…011000000001000111101110
3121000100210221020222102011121
4123300331312120001013232
5112001141242001400420
61111413323143011154
734502213116150552
oct3360756630010756
9530323836872147
10122112201200110
11359aa548134350
12118421b5139aba
13531a19221c8c4
1422223951b3862
15e1b642ad32aa
hex6f0f766011ee

122112201200110 has 64 divisors (see below), whose sum is σ = 253891161042624. Its totient is φ = 41792038502400.

The previous prime is 122112201200047. The next prime is 122112201200113. The reversal of 122112201200110 is 11002102211221.

122112201200110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221122012001102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112201200113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283428214 + ... + 283858726.

It is an arithmetic number, because the mean of its divisors is an integer number (3967049391291).

Almost surely, 2122112201200110 is an apocalyptic number.

122112201200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112201200110 is an abundant number, since it is smaller than the sum of its proper divisors (131778959842514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112201200110 is a wasteful number, since it uses less digits than its factorization.

122112201200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582229.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112201200110 its reverse (11002102211221), we get a palindrome (133114303411331).

The spelling of 122112201200110 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1870 151681 303362 430513 758405 861026 1516810 1668491 2152565 2578577 3336982 4305130 4735643 5157154 7318721 8342455 9471286 12892885 14637442 16684910 23678215 25785770 28364347 36593605 47356430 56728694 73187210 80505931 141821735 161011862 283643470 402529655 805059310 65300642353 130601284706 326503211765 653006423530 718307065883 1110110920001 1436614131766 2220221840002 3591535329415 5550554600005 7183070658830 11101109200010 12211220120011 24422440240022 61056100600055 122112201200110