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212220122000 = 2453106110061
BaseRepresentation
bin1100010110100101001…
…1100001001110010000
3202021202222121012110112
43011221103201032100
511434111322401000
6241254221420452
721222004162565
oct3055123411620
9667688535415
10212220122000
11820027a9787
123516810a728
1317020c64ab3
14a3b303c86c
1557c11c6235
hex31694e1390

212220122000 has 40 divisors (see below), whose sum is σ = 513148259832. Its totient is φ = 84888048000.

The previous prime is 212220121999. The next prime is 212220122053. The reversal of 212220122000 is 221022212.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 212218691584 = 1196^2 + 460672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53053031 + ... + 53057030.

Almost surely, 2212220122000 is an apocalyptic number.

212220122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220122000 is an abundant number, since it is smaller than the sum of its proper divisors (300928137832).

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

212220122000 is a wasteful number, since it uses less digits than its factorization.

212220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106110084 (or 106110068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212220122000 its reverse (221022212), we get a palindrome (212441144212).

The spelling of 212220122000 in words is "two hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 106110061 212220122 424440244 530550305 848880488 1061100610 1697760976 2122201220 2652751525 4244402440 5305503050 8488804880 10611006100 13263757625 21222012200 26527515250 42444024400 53055030500 106110061000 212220122000