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121130322120 = 233251015575981
BaseRepresentation
bin111000011001111101…
…1100000100011001000
3102120122210001220221200
41300303323200203020
53441033330301440
6131351351104200
711515502515113
oct1606373404310
9376583056850
10121130322120
11474099aa935
121b586372060
13b565423822
145c114d957a
15323e32ac30
hex1c33ee08c8

121130322120 has 192 divisors, whose sum is σ = 398351669040. Its totient is φ = 31918848000.

The previous prime is 121130322077. The next prime is 121130322179. The reversal of 121130322120 is 21223031121.

121130322120 is a `hidden beast` number, since 121 + 1 + 303 + 221 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23377798404 + 97752523716 = 152898^2 + 312654^2 .

It is a super-2 number, since 2×1211303221202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121130322093 and 121130322102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20249530 + ... + 20255510.

Almost surely, 2121130322120 is an apocalyptic number.

121130322120 is a gapful number since it is divisible by the number (10) 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 121130322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199175834520).

121130322120 is an abundant number, since it is smaller than the sum of its proper divisors (277221346920).

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

121130322120 is a wasteful number, since it uses less digits than its factorization.

121130322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121130322120 its reverse (21223031121), we get a palindrome (142353353241).

The spelling of 121130322120 in words is "one hundred twenty-one billion, one hundred thirty million, three hundred twenty-two thousand, one hundred twenty".