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212221022121200 = 24521673176961409
BaseRepresentation
bin110000010000001110001110…
…101000110010110011110000
31000211102010112220211020210202
4300100032032220302303300
5210304012123130334300
62031204554110414332
762462314523344241
oct6020161650626360
91024363486736722
10212221022121200
1161690480440134
121b975a32b013a8
1391554833594b1
143a597a3634cc8
151980550ca0ad5
hexc1038ea32cf0

212221022121200 has 60 divisors (see below), whose sum is σ = 512914065721680. Its totient is φ = 84380094996480.

The previous prime is 212221022121179. The next prime is 212221022121221. The reversal of 212221022121200 is 2121220122212.

It is an interprime number because it is at equal distance from previous prime (212221022121179) and next prime (212221022121221).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1588413905 + ... + 1588547504.

It is an arithmetic number, because the mean of its divisors is an integer number (8548567762028).

Almost surely, 2212221022121200 is an apocalyptic number.

212221022121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221022121200 is an abundant number, since it is smaller than the sum of its proper divisors (300693043600480).

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

212221022121200 is a wasteful number, since it uses less digits than its factorization.

212221022121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176961594 (or 3176961583 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212221022121200 its reverse (2121220122212), we get a palindrome (214342242243412).

The spelling of 212221022121200 in words is "two hundred twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1336 1670 2672 3340 4175 6680 8350 13360 16700 33400 66800 3176961409 6353922818 12707845636 15884807045 25415691272 31769614090 50831382544 63539228180 79424035225 127078456360 158848070450 254156912720 317696140900 530552555303 635392281800 1061105110606 1270784563600 2122210221212 2652762776515 4244420442424 5305525553030 8488840884848 10611051106060 13263813882575 21222102212120 26527627765150 42444204424240 53055255530300 106110511060600 212221022121200