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212220210000 = 243548385229
BaseRepresentation
bin1100010110100101001…
…1110110101101010000
3202021202222202200011210
43011221103312231100
511434111333210000
6241254223340120
721222005010261
oct3055123665520
9667688680153
10212220210000
1182002859907
1235168151640
1317020c95b76
14a3b3062968
1557c11e2350
hex31694f6b50

212220210000 has 200 divisors, whose sum is σ = 693337186080. Its totient is φ = 55909568000.

The previous prime is 212220209983. The next prime is 212220210023. The reversal of 212220210000 is 12022212.

212220210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2447386 + ... + 2532614.

Almost surely, 2212220210000 is an apocalyptic number.

212220210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346668593040).

212220210000 is an abundant number, since it is smaller than the sum of its proper divisors (481116976080).

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

212220210000 is an equidigital number, since it uses as much as digits as its factorization.

212220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85343 (or 85322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212220210000 its reverse (12022212), we get a palindrome (212232232212).

The spelling of 212220210000 in words is "two hundred twelve billion, two hundred twenty million, two hundred ten thousand".