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121220321113000 = 23531021679117483
BaseRepresentation
bin11011100011111111001110…
…001011011111001110101000
3120220012112211121020122101201
4123203333032023133032220
5111342033204201104000
61105451502521253544
734350610363406464
oct3343771613371650
9526175747218351
10121220321113000
113569628207426a
12117193883342b4
135284047a9cca5
1421d114838b4a4
15e0334338b96a
hex6e3fce2df3a8

121220321113000 has 128 divisors (see below), whose sum is σ = 283991425885440. Its totient is φ = 48430734240000.

The previous prime is 121220321112971. The next prime is 121220321113013. The reversal of 121220321113000 is 311123022121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6933602259 + ... + 6933619741.

It is an arithmetic number, because the mean of its divisors is an integer number (2218683014730).

Almost surely, 2121220321113000 is an apocalyptic number.

121220321113000 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 121220321113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141995712942720).

121220321113000 is an abundant number, since it is smaller than the sum of its proper divisors (162771104772440).

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

121220321113000 is a wasteful number, since it uses less digits than its factorization.

121220321113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25316 (or 25302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121220321113000 its reverse (311123022121), we get a palindrome (121531444135121).

The spelling of 121220321113000 in words is "one hundred twenty-one trillion, two hundred twenty billion, three hundred twenty-one million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1021 2042 4084 5105 6791 8168 10210 13582 17483 20420 25525 27164 33955 34966 40840 51050 54328 67910 69932 87415 102100 127625 135820 139864 169775 174830 204200 255250 271640 339550 349660 437075 510500 679100 699320 848875 874150 1021000 1358200 1697750 1748300 2185375 3395500 3496600 4370750 6791000 6933611 8741500 13867222 17483000 17850143 27734444 34668055 35700286 55468888 69336110 71400572 89250715 118727053 138672220 142801144 173340275 178501430 237454106 277344440 346680550 357002860 446253575 474908212 593635265 693361100 714005720 866701375 892507150 949816424 1187270530 1386722200 1733402750 1785014300 2231267875 2374541060 2968176325 3466805500 3570028600 4462535750 4749082120 5936352650 6933611000 8925071500 11872705300 14840881625 17850143000 23745410600 29681763250 59363526500 118727053000 121220321113 242440642226 484881284452 606101605565 969762568904 1212203211130 2424406422260 3030508027825 4848812844520 6061016055650 12122032111300 15152540139125 24244064222600 30305080278250 60610160556500 121220321113000