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212001001111200 = 25352712619107209
BaseRepresentation
bin110000001101000001010100…
…010111001111111010100000
31000210122002122021110212202110
4300031001110113033322200
5210241411022241024300
62030515525420515320
762440365303536550
oct6015012427177240
91023562567425673
10212001001111200
11616061352aa884
121b93b26a3abb40
13913a7bb1b7652
143a4cc9055d160
151979974d10550
hexc0d0545cfea0

212001001111200 has 144 divisors (see below), whose sum is σ = 788643724196160. Its totient is φ = 48457371678720.

The previous prime is 212001001111177. The next prime is 212001001111253. The reversal of 212001001111200 is 2111100100212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6309536805 + ... + 6309570404.

It is an arithmetic number, because the mean of its divisors is an integer number (5476692529140).

Almost surely, 2212001001111200 is an apocalyptic number.

212001001111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001001111200 is an abundant number, since it is smaller than the sum of its proper divisors (576642723084960).

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

212001001111200 is a wasteful number, since it uses less digits than its factorization.

212001001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619107239 (or 12619107226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212001001111200 its reverse (2111100100212), we get a palindrome (214112101211412).

The spelling of 212001001111200 in words is "two hundred twelve trillion, one billion, one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 12619107209 25238214418 37857321627 50476428836 63095536045 75714643254 88333750463 100952857672 126191072090 151429286508 176667500926 189286608135 201905715344 252382144180 265001251389 302858573016 315477680225 353335001852 378573216270 403811430688 441668752315 504764288360 530002502778 605717146032 630955360450 706670003704 757146432540 883337504630 946433040675 1009528576720 1060005005556 1211434292064 1261910720900 1325006256945 1413340007408 1514292865080 1766675009260 1892866081350 2019057153440 2120010011112 2208343761575 2523821441800 2650012513890 2826680014816 3028585730160 3533350018520 3785732162700 4240020022224 4416687523150 5047642883600 5300025027780 6057171460320 6625031284725 7066700037040 7571464325400 8480040044448 8833375046300 10095285767200 10600050055560 13250062569450 14133400074080 15142928650800 17666750092600 21200100111120 26500125138900 30285857301600 35333500185200 42400200222240 53000250277800 70667000370400 106000500555600 212001001111200