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212210122000 = 2453106105061
BaseRepresentation
bin1100010110100010110…
…1010111110100010000
3202021202021210011001011
43011220231113310100
511434101242401000
6241253223220304
721221523163222
oct3055055276420
9667667704034
10212210122000
1181aa8099618
12351648a7694
131701bb73236
14a3b1998412
1557c039d2ba
hex3168b57d10

212210122000 has 40 divisors (see below), whose sum is σ = 513124079832. Its totient is φ = 84884048000.

The previous prime is 212210121997. The next prime is 212210122009. The reversal of 212210122000 is 221012212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 889709584 + 211320412416 = 29828^2 + 459696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212210122009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53050531 + ... + 53054530.

Almost surely, 2212210122000 is an apocalyptic number.

212210122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210122000 is an abundant number, since it is smaller than the sum of its proper divisors (300913957832).

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

212210122000 is a wasteful number, since it uses less digits than its factorization.

212210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106105084 (or 106105068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212210122000 its reverse (221012212), we get a palindrome (212431134212).

The spelling of 212210122000 in words is "two hundred twelve billion, two hundred ten 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 106105061 212210122 424420244 530525305 848840488 1061050610 1697680976 2122101220 2652626525 4244202440 5305253050 8488404880 10610506100 13263132625 21221012200 26526265250 42442024400 53052530500 106105061000 212210122000