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212021121220200 = 233252127597923137
BaseRepresentation
bin110000001101010100000011…
…100111010111111001101000
31000210201000120111000022120200
4300031110003213113321220
5210242223224013021300
62030533054120352200
762442010014620505
oct6015240347277150
91023630514008520
10212021121220200
116161371a605536
121b943144615660
13913c6767269a6
143a4dc3c78c4ac
15197a2513a4200
hexc0d5039d7e68

212021121220200 has 144 divisors (see below), whose sum is σ = 712043950457580. Its totient is φ = 56538461306880.

The previous prime is 212021121220163. The next prime is 212021121220211. The reversal of 212021121220200 is 2022121120212.

It is a happy number.

212021121220200 is a `hidden beast` number, since 2 + 1 + 20 + 211 + 212 + 20 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 147303975204 + 211873817244996 = 383802^2 + 14555886^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 229213032 + ... + 230136168.

Almost surely, 2212021121220200 is an apocalyptic number.

212021121220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021121220200 is an abundant number, since it is smaller than the sum of its proper divisors (500022829237380).

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

212021121220200 is a wasteful number, since it uses less digits than its factorization.

212021121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050756 (or 1050744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212021121220200 its reverse (2022121120212), we get a palindrome (214043242340412).

The spelling of 212021121220200 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 127597 255194 382791 510388 637985 765582 923137 1020776 1148373 1275970 1531164 1846274 1913955 2296746 2551940 2769411 3062328 3189925 3692548 3827910 4593492 4615685 5103880 5538822 5741865 6379850 7385096 7655820 8308233 9186984 9231370 9569775 11077644 11483730 12759700 13847055 15311640 16616466 18462740 19139550 22155288 22967460 23078425 25519400 27694110 28709325 33232932 36925480 38279100 41541165 45934920 46156850 55388220 57418650 66465864 69235275 76558200 83082330 92313700 110776440 114837300 138470550 166164660 184627400 207705825 229674600 276941100 332329320 415411650 553882200 830823300 1661646600 117789511789 235579023578 353368535367 471158047156 588947558945 706737070734 942316094312 1060105606101 1177895117890 1413474141468 1766842676835 2120211212202 2355790235780 2826948282936 2944737794725 3533685353670 4240422424404 4711580471560 5300528030505 5889475589450 7067370707340 8480844848808 8834213384175 10601056061010 11778951178900 14134741414680 17668426768350 21202112122020 23557902357800 26502640152525 35336853536700 42404224244040 53005280305050 70673707073400 106010560610100 212021121220200