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122003144320 = 275768724799
BaseRepresentation
bin111000110011111110…
…1000011111010000000
3102122220121102212220211
41301213331003322000
53444330301104240
6132014130443504
711546231421211
oct1614775037200
9378817385824
10122003144320
114781765a0a2
121b78a733594
13b6741c2975
145c953bd408
153290c89bea
hex1c67f43e80

122003144320 has 64 divisors (see below), whose sum is σ = 291713472000. Its totient is φ = 48792941568.

The previous prime is 122003144309. The next prime is 122003144339. The reversal of 122003144320 is 23441300221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122003144291 and 122003144300.

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 7 ways as a sum of consecutive naturals, for example, 4907281 + ... + 4932079.

It is an arithmetic number, because the mean of its divisors is an integer number (4558023000).

Almost surely, 2122003144320 is an apocalyptic number.

122003144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122003144320 is an abundant number, since it is smaller than the sum of its proper divisors (169710327680).

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

122003144320 is an equidigital number, since it uses as much as digits as its factorization.

122003144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32505 (or 32493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122003144320 its reverse (23441300221), we get a palindrome (145444444541).

The spelling of 122003144320 in words is "one hundred twenty-two billion, three million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 7687 15374 24799 30748 38435 49598 61496 76870 99196 122992 123995 153740 198392 245984 247990 307480 396784 491968 495980 614960 793568 983936 991960 1229920 1587136 1983920 2459840 3174272 3967840 4919680 7935680 15871360 190629913 381259826 762519652 953149565 1525039304 1906299130 3050078608 3812598260 6100157216 7625196520 12200314432 15250393040 24400628864 30500786080 61001572160 122003144320