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201201112101200 = 24522988259196523
BaseRepresentation
bin101101101111110111001000…
…110100001011000101010000
3222101101122020102221202121012
4231233313020310023011100
5202332434334144214300
61551530303114150052
760244205056604231
oct5557671064130520
9871348212852535
10201201112101200
1159121a0452a542
121a696159422328
1388362500a3623
143798285b1b088
15183da81701435
hexb6fdc8d0b150

201201112101200 has 120 divisors (see below), whose sum is σ = 500062353559200. Its totient is φ = 77703981268480.

The previous prime is 201201112101043. The next prime is 201201112101217. The reversal of 201201112101200 is 2101211102102.

201201112101200 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 23 ways as a sum of consecutive naturals, for example, 1023706139 + ... + 1023902661.

It is an arithmetic number, because the mean of its divisors is an integer number (4167186279660).

Almost surely, 2201201112101200 is an apocalyptic number.

201201112101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201112101200 is an abundant number, since it is smaller than the sum of its proper divisors (298861241458000).

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

201201112101200 is a wasteful number, since it uses less digits than its factorization.

201201112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284829 (or 284818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201201112101200 its reverse (2101211102102), we get a palindrome (203302323203302).

The spelling of 201201112101200 in words is "two hundred one trillion, two hundred one billion, one hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 88259 176518 196523 353036 393046 441295 706072 786092 882590 982615 1412144 1572184 1765180 1965230 2206475 2559511 3144368 3530360 3930460 4412950 4913075 5119022 5699167 7060720 7860920 8825900 9826150 10238044 11398334 12797555 15721840 17651800 19652300 20476088 22796668 25595110 28495835 35303600 39304600 40952176 45593336 51190220 56991670 63987775 78609200 91186672 102380440 113983340 127975550 142479175 204760880 227966680 255951100 284958350 455933360 511902200 569916700 1023804400 1139833400 2279666800 17344923457 34689846914 69379693828 86724617285 138759387656 173449234570 277518775312 346898469140 433623086425 503002780253 693796938280 867246172850 1006005560506 1387593876560 1734492345700 2012011121012 2515013901265 3468984691400 4024022242024 5030027802530 6937969382800 8048044484048 10060055605060 12575069506325 20120111210120 25150139012650 40240222420240 50300278025300 100600556050600 201201112101200