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122669113008 = 24313238547179
BaseRepresentation
bin111001000111110100…
…1100001111010110000
3102201122000120121012210
41302033221201322300
54002211243104013
6132204200452120
711601566153661
oct1621751417260
9381560517183
10122669113008
1148029575242
121b93577a040
13b74c178190
145d19a19368
1532ce488cc3
hex1c8fa61eb0

122669113008 has 80 divisors (see below), whose sum is σ = 356109707520. Its totient is φ = 36103279872.

The previous prime is 122669113001. The next prime is 122669113013. The reversal of 122669113008 is 800311966221.

122669113008 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 2×1226691130082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (122669113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259238 + ... + 4287941.

It is an arithmetic number, because the mean of its divisors is an integer number (4451371344).

Almost surely, 2122669113008 is an apocalyptic number.

It is an amenable number.

122669113008 is an abundant number, since it is smaller than the sum of its proper divisors (233440594512).

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

122669113008 is a wasteful number, since it uses less digits than its factorization.

122669113008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547226 (or 8547220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 122669113008 in words is "one hundred twenty-two billion, six hundred sixty-nine million, one hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 8547179 17094358 25641537 34188716 51283074 68377432 102566148 111113327 136754864 196585117 205132296 222226654 333339981 393170234 410264592 444453308 589755351 666679962 786340468 888906616 1179510702 1333359924 1572680936 1777813232 2359021404 2555606521 2666719848 3145361872 4718042808 5111213042 5333439696 7666819563 9436085616 10222426084 15333639126 20444852168 30667278252 40889704336 61334556504 122669113008