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121355428608 = 283617291319
BaseRepresentation
bin111000100000101011…
…0001110001100000000
3102121020110122112000000
41301001112032030000
53442013442203413
6131425552000000
711524205060211
oct1610126161400
9377213575000
10121355428608
1147514a80757
121b629830000
13b59cc5b62b
145c33375408
153253e94073
hex1c4158e300

121355428608 has 504 divisors, whose sum is σ = 398115194400. Its totient is φ = 36731584512.

The previous prime is 121355428577. The next prime is 121355428631. The reversal of 121355428608 is 806824553121.

121355428608 is a `hidden beast` number, since 1 + 2 + 1 + 35 + 5 + 4 + 2 + 8 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92004973 + ... + 92006291.

It is an arithmetic number, because the mean of its divisors is an integer number (789911100).

Almost surely, 2121355428608 is an apocalyptic number.

121355428608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121355428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199057597200).

121355428608 is an abundant number, since it is smaller than the sum of its proper divisors (276759765792).

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

121355428608 is an equidigital number, since it uses as much as digits as its factorization.

121355428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 121355428608 in words is "one hundred twenty-one billion, three hundred fifty-five million, four hundred twenty-eight thousand, six hundred eight".