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200201121221200 = 245211431058145461
BaseRepresentation
bin101101100001010011110100…
…101101101100101001010000
3222020212001002100200200101221
4231201103310231230221100
5202220043344013034300
61545443043031134424
760112024262431141
oct5541236455545120
9866761070620357
10200201121221200
1158876900773640
121a55439a514414
138792b6697bc48
143761b009a9ac8
151822a55b8c31a
hexb614f4b6ca50

200201121221200 has 120 divisors (see below), whose sum is σ = 536911472582496. Its totient is φ = 71107374912000.

The previous prime is 200201121221149. The next prime is 200201121221221. The reversal of 200201121221200 is 2122121102002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528883531 + ... + 529261930.

Almost surely, 2200201121221200 is an apocalyptic number.

200201121221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201121221200 is an abundant number, since it is smaller than the sum of its proper divisors (336710351361296).

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

200201121221200 is a wasteful number, since it uses less digits than its factorization.

200201121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058145533 (or 1058145522 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200201121221200 its reverse (2122121102002), we get a palindrome (202323242323202).

The spelling of 200201121221200 in words is "two hundred trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 860 880 946 1075 1100 1720 1892 2150 2200 2365 3440 3784 4300 4400 4730 7568 8600 9460 11825 17200 18920 23650 37840 47300 94600 189200 1058145461 2116290922 4232581844 5290727305 8465163688 10581454610 11639600071 16930327376 21162909220 23279200142 26453636525 42325818440 45500254823 46558400284 52907273050 58198000355 84651636880 91000509646 93116800568 105814546100 116396000710 182001019292 186233601136 211629092200 227501274115 232792001420 290990001775 364002038584 423258184400 455002548230 465584002840 500502803053 581980003550 728004077168 910005096460 931168005680 1001005606106 1137506370575 1163960007100 1820010192920 2002011212212 2275012741150 2327920014200 2502514015265 3640020385840 4004022424424 4550025482300 4655840028400 5005028030530 8008044848848 9100050964600 10010056061060 12512570076325 18200101929200 20020112122120 25025140152650 40040224244240 50050280305300 100100560610600 200201121221200