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121331560968 = 23323229752177
BaseRepresentation
bin111000011111111101…
…1001011001000001000
3102121011210201220202100
41300333323023020020
53441441334422333
6131423340233400
711523465152232
oct1607773131010
9377153656670
10121331560968
1147502559632
121b62183b860
13b598022977
145c30121252
153251d2c213
hex1c3fecb208

121331560968 has 48 divisors (see below), whose sum is σ = 328622783580. Its totient is φ = 40441826304.

The previous prime is 121331560939. The next prime is 121331560969. The reversal of 121331560968 is 869065133121.

121331560968 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 31 + 5 + 609 + 6 + 8 = 666.

121331560968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 120674253924 + 657307044 = 347382^2 + 25638^2 .

It is not an unprimeable number, because it can be changed into a prime (121331560969) 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 11 ways as a sum of consecutive naturals, for example, 2299296 + ... + 2351472.

Almost surely, 2121331560968 is an apocalyptic number.

121331560968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121331560968 is an abundant number, since it is smaller than the sum of its proper divisors (207291222612).

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

121331560968 is a wasteful number, since it uses less digits than its factorization.

121331560968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84486 (or 84479 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 121331560968 in words is "one hundred twenty-one billion, three hundred thirty-one million, five hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32297 52177 64594 96891 104354 129188 156531 193782 208708 258376 290673 313062 387564 417416 469593 581346 626124 775128 939186 1162692 1252248 1878372 2325384 3756744 1685160569 3370321138 5055481707 6740642276 10110963414 13481284552 15166445121 20221926828 30332890242 40443853656 60665780484 121331560968