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122301312112 = 2474126633561
BaseRepresentation
bin111000111100110111…
…0011110110001110000
3102200200101111101020101
41301321232132301300
54000433113441422
6132103501322144
711556512000110
oct1617156366160
9380611441211
10122301312112
114795a9a1a61
121b852566354
13b6c0bcb805
145cc2c37040
1532ac035c27
hex1c79b9ec70

122301312112 has 40 divisors (see below), whose sum is σ = 277415181792. Its totient is φ = 51136435200.

The previous prime is 122301312043. The next prime is 122301312121. The reversal of 122301312112 is 211213103221.

It is a super-3 number, since 3×1223013121123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 122301312112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13312189 + ... + 13321372.

Almost surely, 2122301312112 is an apocalyptic number.

It is an amenable number.

122301312112 is an abundant number, since it is smaller than the sum of its proper divisors (155113869680).

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

122301312112 is a wasteful number, since it uses less digits than its factorization.

122301312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633617 (or 26633611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122301312112 its reverse (211213103221), we get a palindrome (333514415333).

The spelling of 122301312112 in words is "one hundred twenty-two billion, three hundred one million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 26633561 53267122 106534244 186434927 213068488 372869854 426136976 745739708 1091976001 1491479416 2183952002 2982958832 4367904004 7643832007 8735808008 15287664014 17471616016 30575328028 61150656056 122301312112