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122321320032 = 2531274180417
BaseRepresentation
bin111000111101011101…
…0110011100001100000
3102200201210010212221110
41301322322303201200
54001003224220112
6132105454223320
711560144031202
oct1617272634140
9380653125843
10122321320032
114797021822a
121b8591b4b40
13b6c50b5712
145cc5764772
1532adb8913c
hex1c7aeb3860

122321320032 has 24 divisors (see below), whose sum is σ = 321093465336. Its totient is φ = 40773773312.

The previous prime is 122321320013. The next prime is 122321320057. The reversal of 122321320032 is 230023123221.

It is a happy number.

122321320032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 122321319990 and 122321320008.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 637090113 + ... + 637090304.

It is an arithmetic number, because the mean of its divisors is an integer number (13378894389).

Almost surely, 2122321320032 is an apocalyptic number.

122321320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122321320032 is an abundant number, since it is smaller than the sum of its proper divisors (198772145304).

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

122321320032 is a wasteful number, since it uses less digits than its factorization.

122321320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274180430 (or 1274180422 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122321320032 its reverse (230023123221), we get a palindrome (352344443253).

The spelling of 122321320032 in words is "one hundred twenty-two billion, three hundred twenty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1274180417 2548360834 3822541251 5096721668 7645082502 10193443336 15290165004 20386886672 30580330008 40773773344 61160660016 122321320032