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121241646320 = 24519148953569
BaseRepresentation
bin111000011101010010…
…0001011010011110000
3102120221112112210001012
41300322210023103300
53441300330140240
6131410405130052
711521323663344
oct1607244132360
9376845483035
10121241646320
1147466826403
121b5b76b9928
13b582500832
145c221d7624
153248ebab65
hex1c3a90b4f0

121241646320 has 80 divisors (see below), whose sum is σ = 296927796000. Its totient is φ = 45912489984.

The previous prime is 121241646293. The next prime is 121241646343. The reversal of 121241646320 is 23646142121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2236496 + ... + 2290064.

It is an arithmetic number, because the mean of its divisors is an integer number (3711597450).

Almost surely, 2121241646320 is an apocalyptic number.

121241646320 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 121241646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148463898000).

121241646320 is an abundant number, since it is smaller than the sum of its proper divisors (175686149680).

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

121241646320 is a wasteful number, since it uses less digits than its factorization.

121241646320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55090 (or 55084 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 121241646320 its reverse (23646142121), we get a palindrome (144887788441).

The spelling of 121241646320 in words is "one hundred twenty-one billion, two hundred forty-one million, six hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1489 1520 2978 5956 7445 11912 14890 23824 28291 29780 53569 56582 59560 107138 113164 119120 141455 214276 226328 267845 282910 428552 452656 535690 565820 857104 1017811 1071380 1131640 2035622 2142760 2263280 4071244 4285520 5089055 8142488 10178110 16284976 20356220 40712440 79764241 81424880 159528482 319056964 398821205 638113928 797642410 1276227856 1515520579 1595284820 3031041158 3190569640 6062082316 6381139280 7577602895 12124164632 15155205790 24248329264 30310411580 60620823160 121241646320