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12021020002100 = 2252432421115439
BaseRepresentation
bin1010111011101101110010…
…1000001000011100110100
31120120012100112220211212202
42232323130220020130310
53033423022110031400
641322214053404032
72350330040045324
oct256733450103464
946505315824782
1012021020002100
1139150a444956a
121421907339618
136927674b8a55
142d7b6b53b284
1515ca634be4d5
hexaeedca08734

12021020002100 has 108 divisors (see below), whose sum is σ = 26714435791680. Its totient is φ = 4695165115200.

The previous prime is 12021020002099. The next prime is 12021020002139. The reversal of 12021020002100 is 120002012021.

It is a happy number.

12021020002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778606181 + ... + 778621619.

It is an arithmetic number, because the mean of its divisors is an integer number (247355886960).

Almost surely, 212021020002100 is an apocalyptic number.

12021020002100 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 12021020002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357217895840).

12021020002100 is an abundant number, since it is smaller than the sum of its proper divisors (14693415789580).

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

12021020002100 is a wasteful number, since it uses less digits than its factorization.

12021020002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19750 (or 19700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12021020002100 its reverse (120002012021), we get a palindrome (12141022014121).

The spelling of 12021020002100 in words is "twelve trillion, twenty-one billion, twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1849 2150 3698 4211 4300 7396 8422 9245 15439 16844 18490 21055 30878 36980 42110 46225 61756 77195 84220 92450 105275 154390 181073 184900 210550 308780 362146 385975 421100 663877 724292 771950 905365 1327754 1543900 1810730 2655508 3319385 3621460 4526825 6638770 7786139 9053650 13277540 15572278 16596925 18107300 28546711 31144556 33193850 38930695 57093422 65013629 66387700 77861390 114186844 130027258 142733555 155722780 194653475 260054516 285467110 325068145 389306950 570934220 650136290 713667775 778613900 1300272580 1427335550 1625340725 2795586047 2854671100 3250681450 5591172094 6501362900 11182344188 13977930235 27955860470 55911720940 69889651175 120210200021 139779302350 240420400042 279558604700 480840800084 601051000105 1202102000210 2404204000420 3005255000525 6010510001050 12021020002100