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122324244042 = 2371113113180239
BaseRepresentation
bin111000111101100010…
…1111101011001001010
3102200201222122102221010
41301323011331121022
54001010001302132
6132110041024350
711560210630050
oct1617305753112
9380658572833
10122324244042
1147971935070
121b85a1850b6
13b6c589a5c0
145cc5cc61d0
1532ae0656cc
hex1c7b17d64a

122324244042 has 128 divisors (see below), whose sum is σ = 331387822080. Its totient is φ = 29068784640.

The previous prime is 122324244019. The next prime is 122324244047. The reversal of 122324244042 is 240442423221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122324244047) 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, 588559 + ... + 768797.

It is an arithmetic number, because the mean of its divisors is an integer number (2588967360).

Almost surely, 2122324244042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122324244042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165693911040).

122324244042 is an abundant number, since it is smaller than the sum of its proper divisors (209063578038).

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

122324244042 is a wasteful number, since it uses less digits than its factorization.

122324244042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180388.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 122324244042 its reverse (240442423221), we get a palindrome (362766667263).

The spelling of 122324244042 in words is "one hundred twenty-two billion, three hundred twenty-four million, two hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 113 143 154 182 226 231 273 286 339 429 462 546 678 791 858 1001 1243 1469 1582 2002 2373 2486 2938 3003 3729 4407 4746 6006 7458 8701 8814 10283 16159 17402 20566 26103 30849 32318 48477 52206 61698 96954 113113 180239 226226 339339 360478 540717 678678 1081434 1261673 1982629 2343107 2523346 3785019 3965258 4686214 5947887 7029321 7570038 11895774 13878403 14058642 16401749 20367007 25774177 27756806 32803498 40734014 41635209 49205247 51548354 61101021 77322531 83270418 98410494 122202042 142569049 154645062 180419239 224037077 264771091 285138098 360838478 427707147 448074154 529542182 541257717 672111231 794313273 855414294 1082515434 1344222462 1568259539 1588626546 1853397637 2912482001 3136519078 3706795274 4704778617 5560192911 5824964002 8737446003 9409557234 11120385822 17474892006 20387374007 40774748014 61162122021 122324244042