Search a number
-
+
121020111123000 = 23353155921258721
BaseRepresentation
bin11011100001000100110000…
…101110111111001000111000
3120212111102001121211100202220
4123201010300232333020320
5111330243141421414000
61105215512130324040
734330262112516645
oct3341046056771070
9525442047740686
10121020111123000
1135619382817511
12116a6612429620
13526b1bc10969b
1421c5594446dcc
15ded0267881a0
hex6e1130bbf238

121020111123000 has 128 divisors (see below), whose sum is σ = 377586627762240. Its totient is φ = 32271697920000.

The previous prime is 121020111122983. The next prime is 121020111123017. The reversal of 121020111123000 is 321111020121.

It is an interprime number because it is at equal distance from previous prime (121020111122983) and next prime (121020111123017).

It is a super-3 number, since 3×1210201111230003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467633640 + ... + 467892360.

Almost surely, 2121020111123000 is an apocalyptic number.

121020111123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020111123000 is an abundant number, since it is smaller than the sum of its proper divisors (256566516639240).

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

121020111123000 is a wasteful number, since it uses less digits than its factorization.

121020111123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414666 (or 414652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121020111123000 its reverse (321111020121), we get a palindrome (121341222143121).

The spelling of 121020111123000 in words is "one hundred twenty-one trillion, twenty billion, one hundred eleven million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 155921 258721 311842 467763 517442 623684 776163 779605 935526 1034884 1247368 1293605 1552326 1559210 1871052 2069768 2338815 2587210 3104652 3118420 3742104 3880815 3898025 4677630 5174420 6209304 6236840 6468025 7761630 7796050 9355260 10348840 11694075 12936050 15523260 15592100 18710520 19404075 19490125 23388150 25872100 31046520 31184200 32340125 38808150 38980250 46776300 51744200 58470375 64680250 77616300 77960500 93552600 97020375 116940750 129360500 155232600 155921000 194040750 233881500 258721000 388081500 467763000 776163000 40340037041 80680074082 121020111123 161360148164 201700185205 242040222246 322720296328 403400370410 484080444492 605100555615 806800740820 968160888984 1008500926025 1210201111230 1613601481640 2017001852050 2420402222460 3025502778075 4034003704100 4840804444920 5042504630125 6051005556150 8068007408200 10085009260250 12102011112300 15127513890375 20170018520500 24204022224600 30255027780750 40340037041000 60510055561500 121020111123000