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212001102021200 = 245231112371377679
BaseRepresentation
bin110000001101000001011010…
…011000001100001001010000
31000210122002220022100122020212
4300031001122120030021100
5210241411224104134300
62030515543423423252
762440400640342032
oct6015013230141120
91023562808318225
10212001102021200
1161606187262a78
121b93b298154b28
13913a8060893cb
143a4cc9db09c52
15197997dae4935
hexc0d05a60c250

212001102021200 has 120 divisors (see below), whose sum is σ = 511383816602880. Its totient is φ = 84459376396800.

The previous prime is 212001102021161. The next prime is 212001102021223. The reversal of 212001102021200 is 2120201100212.

It is a congruent number.

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, 153193961 + ... + 154571639.

It is an arithmetic number, because the mean of its divisors is an integer number (4261531805024).

Almost surely, 2212001102021200 is an apocalyptic number.

212001102021200 is a gapful number since it is divisible by the number (20) 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 212001102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255691908301440).

212001102021200 is an abundant number, since it is smaller than the sum of its proper divisors (299382714581680).

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

212001102021200 is a wasteful number, since it uses less digits than its factorization.

212001102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379245 (or 1379234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212001102021200 its reverse (2120201100212), we get a palindrome (214121303121412).

The spelling of 212001102021200 in words is "two hundred twelve trillion, one billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 311 400 622 1237 1244 1555 2474 2488 3110 4948 4976 6185 6220 7775 9896 12370 12440 15550 19792 24740 24880 30925 31100 49480 61850 62200 98960 123700 124400 247400 384707 494800 769414 1377679 1538828 1923535 2755358 3077656 3847070 5510716 6155312 6888395 7694140 9617675 11021432 13776790 15388280 19235350 22042864 27553580 30776560 34441975 38470700 55107160 68883950 76941400 110214320 137767900 153882800 275535800 428458169 551071600 856916338 1704188923 1713832676 2142290845 3408377846 3427665352 4284581690 6816755692 6855330704 8520944615 8569163380 10711454225 13633511384 17041889230 17138326760 21422908450 27267022768 34083778460 34276653520 42604723075 42845816900 68167556920 85209446150 85691633800 136335113840 170418892300 171383267600 340837784600 530002755053 681675569200 1060005510106 2120011020212 2650013775265 4240022040424 5300027550530 8480044080848 10600055101060 13250068876325 21200110202120 26500137752650 42400220404240 53000275505300 106000551010600 212001102021200