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122330220113112 = 233111095269780671
BaseRepresentation
bin11011110100001000111001…
…010100001010110011011000
3121001010122200101000201110020
4123310020321110022303120
5112013224242322104422
61112101421032550440
734524031615300614
oct3364107124126330
9531118611021406
10122330220113112
1135a83a56125590
12118784bb252420
1353348c8661a7b
14222cb58406344
15e22152de995c
hex6f423950acd8

122330220113112 has 128 divisors (see below), whose sum is σ = 336699242035200. Its totient is φ = 36728521804800.

The previous prime is 122330220113071. The next prime is 122330220113161. The reversal of 122330220113112 is 211311022033221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1516368537 + ... + 1516449207.

It is an arithmetic number, because the mean of its divisors is an integer number (2630462828400).

Almost surely, 2122330220113112 is an apocalyptic number.

122330220113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330220113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168349621017600).

122330220113112 is an abundant number, since it is smaller than the sum of its proper divisors (214369021922088).

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

122330220113112 is a wasteful number, since it uses less digits than its factorization.

122330220113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133497 (or 133493 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122330220113112 its reverse (211311022033221), we get a palindrome (333641242146333).

The spelling of 122330220113112 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred twenty million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 654 872 1199 1308 2398 2616 3597 4796 7194 9592 14388 28776 52697 80671 105394 158091 161342 210788 242013 316182 322684 421576 484026 579667 632364 645368 887381 968052 1159334 1264728 1739001 1774762 1936104 2318668 2662143 3478002 3549524 4637336 5324286 5743973 6956004 7099048 8793139 10648572 11487946 13912008 17231919 17586278 21297144 22975892 26379417 34463838 35172556 45951784 52758834 63183703 68927676 70345112 96724529 105517668 126367406 137855352 189551109 193449058 211035336 252734812 290173587 379102218 386898116 505469624 580347174 758204436 773796232 1160694348 1516408872 2321388696 4251119687 8502239374 12753359061 17004478748 25506718122 34008957496 46762316557 51013436244 93524633114 102026872488 140286949671 187049266228 280573899342 374098532456 463372045883 561147798684 926744091766 1122295597368 1390116137649 1853488183532 2780232275298 3706976367064 5097092504713 5560464550596 10194185009426 11120929101192 15291277514139 20388370018852 30582555028278 40776740037704 61165110056556 122330220113112