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122331203113112 = 23729265936717717
BaseRepresentation
bin11011110100001001110011…
…111010000001000010011000
3121001010202012212201021221122
4123310021303322001002120
5112013233300444104422
61112102102350024412
734524065152536050
oct3364116372010230
9531122185637848
10122331203113112
1135a8440aa97a84
12118787344a8108
135334a241c9186
14222cc0cbaa560
15e221ae36dd42
hex6f4273e81098

122331203113112 has 128 divisors (see below), whose sum is σ = 271388589696000. Its totient is φ = 50580431838720.

The previous prime is 122331203113061. The next prime is 122331203113157. The reversal of 122331203113112 is 211311302133221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15852167078 + ... + 15852174794.

It is an arithmetic number, because the mean of its divisors is an integer number (2120223357000).

Almost surely, 2122331203113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331203113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135694294848000).

122331203113112 is an abundant number, since it is smaller than the sum of its proper divisors (149057386582888).

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

122331203113112 is a wasteful number, since it uses less digits than its factorization.

122331203113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122331203113112 its reverse (211311302133221), we get a palindrome (333642505246333).

The spelling of 122331203113112 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred three million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2659 3671 5318 7342 7717 10636 14684 15434 18613 21272 25697 29368 30868 37226 51394 54019 61736 74452 77111 102788 106459 108038 148904 154222 205576 212918 216076 223793 308444 425836 432152 447586 539777 616888 745213 851672 895172 1079554 1490426 1566551 1790344 2159108 2980852 3133102 4318216 5961704 6266204 9761189 12532408 19522378 20519503 28329107 39044756 41039006 56658214 68328323 78089512 82078012 113316428 136656646 143636521 164156024 198303749 226632856 273313292 283074481 287273042 396607498 546626584 566148962 574546084 595065587 793214996 821544103 1132297924 1149092168 1190131174 1586429992 1643088206 1981521367 2264595848 2380262348 3286176412 3963042734 4165459109 4760524696 5750808721 6572352824 7926085468 8330918218 11501617442 15852170936 16661836436 23003234884 33323672872 46006469768 75327095513 150654191026 301308382052 527289668591 602616764104 1054579337182 2109158674364 2184485769877 4218317348728 4368971539754 8737943079508 15291400389139 17475886159016 30582800778278 61165601556556 122331203113112