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121012002102000 = 2435345863439759
BaseRepresentation
bin11011100000111101001101…
…011001100001101011110000
3120212110122010111021102011210
4123200331031121201223300
5111330130040014231000
61105212051334040120
734326554136133212
oct3340751531415360
9525418114242153
10121012002102000
11356159a1456a69
12116a4b2a7a9040
13526a4c91149c9
1421c50254c05b2
15decbee905350
hex6e0f4d661af0

121012002102000 has 160 divisors (see below), whose sum is σ = 390152088668160. Its totient is φ = 32269090233600.

The previous prime is 121012002101941. The next prime is 121012002102001. The reversal of 121012002102000 is 201200210121.

121012002102000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012002102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274958121 + ... + 275397879.

It is an arithmetic number, because the mean of its divisors is an integer number (2438450554176).

Almost surely, 2121012002102000 is an apocalyptic number.

121012002102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012002102000 is an abundant number, since it is smaller than the sum of its proper divisors (269140086566160).

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

121012002102000 is a wasteful number, since it uses less digits than its factorization.

121012002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485648 (or 485632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121012002102000 its reverse (201200210121), we get a palindrome (121213202312121).

The spelling of 121012002102000 in words is "one hundred twenty-one trillion, twelve billion, two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 45863 91726 137589 183452 229315 275178 366904 439759 458630 550356 687945 733808 879518 917260 1100712 1146575 1319277 1375890 1759036 1834520 2198795 2201424 2293150 2638554 2751780 3439725 3518072 3669040 4397590 4586300 5277108 5503560 5732875 6596385 6879450 7036144 8795180 9172600 10554216 10993975 11007120 11465750 13192770 13758900 17198625 17590360 18345200 21108432 21987950 22931500 26385540 27517800 32981925 34397250 35180720 43975900 45863000 52771080 54969875 55035600 65963850 68794500 87951800 91726000 105542160 109939750 131927700 137589000 164909625 175903600 219879500 263855400 275178000 329819250 439759000 527710800 659638500 879518000 1319277000 2638554000 20168667017 40337334034 60506001051 80674668068 100843335085 121012002102 161349336136 201686670170 242024004204 302530005255 322698672272 403373340340 484048008408 504216675425 605060010510 806746680680 968096016816 1008433350850 1210120021020 1512650026275 1613493361360 2016866701700 2420240042040 2521083377125 3025300052550 4033733403400 4840480084080 5042166754250 6050600105100 7563250131375 8067466806800 10084333508500 12101200210200 15126500262750 20168667017000 24202400420400 30253000525500 40337334034000 60506001051000 121012002102000